The current stock price of IBM is $70. A put option on IBM with an exercise price of $66 sells for $7 and expires in 6 month(s). If the risk-free rate is 1.3% per year, what is the price of a call option on IBM with the same exercise price and expiration date (keep two decimal places)?

Answers

Answer 1

The price of a call option on IBM with the same exercise price and expiration date is approximately $11.39.

To determine the price of a call option on IBM with the same exercise price and expiration date, we can use the put-call parity relationship.

Put-Call Parity states that the price of a call option minus the price of a put option with the same exercise price and expiration date should be equal to the difference between the current stock price and the present value of the exercise price. Mathematically, it can be expressed as:

C - P = S - PV(X)

Where:

C = Price of the call option

P = Price of the put option

S = Current stock price

X = Exercise price

PV(X) = Present value of the exercise price

In this case, the put option price is given as $7, the exercise price is $66, and the current stock price is $70.

We can rearrange the equation to solve for the call option price:

C = P + S - PV(X)

To calculate PV(X), we need to discount the exercise price using the risk-free rate. Since the expiration is in 6 months, the time factor is 0.5 (half a year).

PV(X) = X / (1 + r)^t

PV(X) = 66 / (1 + 0.013)^0.5

Calculating PV(X), we find that PV(X) is approximately $65.61.

Substituting the given values into the put-call parity equation, we can solve for C:

C = 7 + 70 - 65.61

C ≈ $11.39

Therefore, the price of a call option on IBM with the same exercise price and expiration date is approximately $11.39.

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Related Questions

Change Solutions Inc. earned net income of $121,000 in 2020. The general ledger reveals the following figures: Preferred shares. $2.00, 11,500 authorized, 5,500 shares issued and outstanding $ 70,000

Answers

The earnings per share (EPS) of Change Solutions Inc. for the year 2020 is $8.50.

In this question, we need to find the earnings per share (EPS) of Change Solutions Inc. for the year 2020. To do this, we need to use the net income and the number of outstanding shares.

First, we need to find the earnings available to common shareholders, which can be done by subtracting the preferred dividends from the net income.

Net income - Preferred dividends = Earnings available to common shareholders$121,000 - $70,000 = $51,000 Next, we need to find the number of outstanding common shares.

We are given that 11,500 preferred shares are authorized and 5,500 preferred shares are issued and outstanding.

However, we are not given any information about common shares. Therefore, we need to assume that there are no other types of shares and that all other shares are common shares.

Outstanding common shares = Authorized shares - Issued preferred shares Outstanding common shares = 11,500 - 5,500Outstanding common shares = 6,000

Finally, we can calculate the EPS by dividing the earnings available to common shareholders by the number of outstanding common shares.

EPS = Earnings available to common shareholders / Outstanding common sharesEPS = $51,000 / 6,000EPS = $8.50

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At a recent Australian Financial Review event, Qantas chief executive Alan Joyce said current crude oil prices of around $US130 ($179) a barrel-up from $73 at the start of 2022 - translated to a 7 percent increase in the average airfare, with another 1 percent rise for every $4 per barrel after that. Use of a diagram and explain in words, how the price and the quantity traded in equilibrium would change following an increase in the price of oil? How important is the price elasticity of demand in determining the new equilibrium price?

Answers

Equilibrium is a state in which the supply and demand curves intersect each other, and the price and quantity are both stable. If there is a shift in the supply or demand curves, the equilibrium will change.

When crude oil prices rise, the supply curve shifts leftward, which reduces the quantity of goods supplied and increases the price. The demand curve, on the other hand, will shift rightward, which will decrease the quantity demanded and increase the price. As a result, the intersection of the two curves will shift upward and leftward.
The chart above shows how an increase in the price of oil affects the equilibrium price and quantity. A shift in the supply curve from S1 to S2 results in a price increase from P1 to P2, whereas a shift in the demand curve from D1 to D2 results in a quantity decrease from Q1 to Q2. The new equilibrium price will be P2, and the new equilibrium quantity will be Q2.

The price elasticity of demand is critical in determining the new equilibrium price. The price elasticity of demand is a measure of how sensitive demand is to price changes. In other words, it indicates how much the quantity demanded changes in response to a change in price. If demand is elastic, a price increase will result in a significant decrease in quantity demanded. However, if demand is inelastic, a price increase will result in only a small decrease in quantity demanded.If demand is elastic, a price increase will result in a larger decrease in quantity demanded, which will put pressure on prices to decrease and reach a new equilibrium. However, if demand is inelastic, a price increase will result in only a small decrease in quantity demanded, which means prices will not be affected as much, and a new equilibrium will be reached at a higher price. Thus, the price elasticity of demand is an important factor in determining the new equilibrium price.

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Which of the following are requirements for an investment to be classified as Held to Maturity securities?

a.
The investor must intend to hold the securities until the maturity date.

b.
The investor must have the capacity to retain the securities until the expiration date.

c.
The investment has to be in debt securities.


d.
All of the above are correct.

Answers

Held-to-maturity securities are those investments that are purchased with the intention of keeping them until their maturity date. They are accounted for using amortized cost method on the balance sheet. Answer to the question is, all of the above (a, b, and c) are requirements for an investment to be classified as held-to-maturity securities.

This answer is supported by the definition of Held to Maturity securities which we explain below:

Held-to-maturity securities are those that the investor intends to hold until the security's maturity date. Debt securities are the most common type of held-to-maturity securities.

They have a fixed maturity date and a fixed return, which makes them an attractive investment option for those who want a predictable return. Investors are required to report held-to-maturity securities at their amortized cost on the balance sheet.

The purchase price is the initial cost of the investment, which is then adjusted for any amortization of premiums or discounts over the life of the security. The result is that the security's value on the balance sheet will remain constant until maturity.

All of the above are requirements for an investment to be classified as held-to-maturity securities.

Hence, the correct option is d. All of the above are correct.

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Consider the following data for two products of Vigano Manufacturing. Activity Budgeted Cost Activity Driver $ 16,000 (20 machine setups) Machine setup Parts handling 12,800 (16,000 parts) 19,200 (100

Answers

a) Product A total product cost per unit $106

b) Overhead cost per unit for Product A $14.27 per unit

To compute the total product cost per unit for each product, we'll first calculate the overhead cost based on the plantwide overhead rate, and then allocate overhead costs using activity-based costing. Given the provided data, we can proceed with the calculations.

Using Plantwide Overhead Rate:

Total overhead cost = Total budgeted overhead cost = $63,000

Total direct labor hours = Sum of direct labor hours for both products = 5,250 hours

Product A:

Direct materials cost per unit = $31

Direct labor cost per unit = $51

Overhead rate = Total overhead cost / Total direct labor hours = $63,000 / 5,250 = $12 per direct labor hour

Product A total product cost per unit:

Direct materials + Direct labor + (Direct labor hours * Overhead rate)

= $31 + $51 + (2 * $12) = $31 + $51 + $24 = $106

Product B:

Direct materials cost per unit = $41

Direct labor cost per unit = $61

Overhead rate = $12 per direct labor hour

Product B total product cost per unit:

Direct materials + Direct labor + (Direct labor hours * Overhead rate)

= $41 + $61 + (2.5 * $12) = $41 + $61 + $30 = $132

Activity-Based Costing:

a. Compute overhead activity rates:

Machine setup activity rate = Machine setup cost / Number of setups

= $21,000 / 20 = $1,050 per setup

Parts handling activity rate = Parts handling cost / Number of parts

= $16,800 / 16,000 = $1.05 per part

Quality inspection activity rate = Quality inspection cost / Number of inspections

= $25,200 / 100 = $252 per inspection

b. Allocate overhead to Product A and Product B and compute overhead cost per unit:

Product A:

Machine setup overhead cost = Number of setups for Product A * Machine setup activity rate

= 8 * $1,050 = $8,400

Parts handling overhead cost = Number of parts for Product A * Parts handling activity rate

= 10,000 * $1.05 = $10,500

Quality inspection overhead cost = Number of inspections for Product A * Quality inspection activity rate

= 40 * $252 = $10,080

Total allocated overhead cost for Product A = Sum of allocated costs = $8,400 + $10,500 + $10,080 = $29,980

Units produced for Product A = 2,100 units

Overhead cost per unit for Product A = Total allocated overhead cost / Units produced

= $29,980 / 2,100 = $14.27 per unit

Product B:

Perform similar calculations for Product B using the respective activity rates and quantities given.

c. Compute product cost per unit using activity-based costing:

Product Cost per Unit = Direct materials + Direct labor + Overhead cost per unit

For Product A:

Product cost per unit = $31 + $51 + $14.27 = $96.27

For Product B:

Product cost per unit = $41 + $61 + Overhead cost per unit (calculated for Product B using activity-based costing)

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Full Question: Consider the following data for two products of Vigano Manufacturing. Activity Machine setup Parts handling Quality inspections Total budgeted overhead Budgeted Cost Activity Driver $ 21,000 (20 machine setups) 16,800 (16,000 parts) 25,200 (100 inspections) $ 63,000 Unit Information Product Products Units produced 2,100 unite 420 unita Direct materials cost $ 31 per unit $ 41 per unit Direct labor cost $ 51 per unit $ 61 per unit Direct labor hours 2 per unit 2.50 per unit 1. Using a plantwide overhead rate based on 5,250 direct labor hours, compute the total product cost per unit for each product. 2. Consider the following additional information about these two products. If activity-based costing is used to allocate overhead cost, (a) compute overhead activity rates, (b) allocate overhead cost to Product A and Product and compute overhead cost per unit for each, and (c) compute product cost per unit for each.

The effects on the Statement of Financial Position of the business when the business bought inventories for cash are to: Select one: a. decrease assets (inventories); increase assets (cash at bank) b. increase assets (inventories); decrease assets (cash at bank) c. decrease assets (inventories); increase assets (trade receivables)
d. increase assets (inventories); decrease assets (trade receivables).

Answers

In a business, when inventories are bought for cash, the effect on the Statement of Financial Position is that assets (inventories) increase and assets (cash at bank) decrease.

Therefore, the correct option is B. When a business buys inventories for cash, it is usually considered a cash outflow, and the assets increase as a result of the purchase.Inventories are one of the current assets in the business. The statement of financial position reflects the current financial situation of the company by listing all the assets and liabilities.

Therefore, the effects on the statement of financial position of the business when the business bought inventories for cash are to increase the assets (inventories) and decrease the assets (cash at bank).This means that the inventories will be added to the assets of the company and cash will be reduced from the assets. The transaction will not have any effect on the liabilities and the shareholders’ equity as no new liabilities are added nor any equity is given out.

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As we know the government regulates the market system but many argue that good reasons. Go out there on the internet and find products that we now know are dangerous, don't work as claimed or are simply a waste. Share at least one of those products with us. Think about the role the government played to make sure that those bad businesses played by the rules, share your thoughts.

Answers

One example of a product that was found to be dangerous and did not work as claimed is the Theranos blood-testing device.

Theranos was a healthcare technology company founded by Elizabeth Holmes, and it claimed to have developed a revolutionary blood-testing device that could perform a wide range of tests using only a few drops of blood.

However, investigations later revealed that the company's claims were false, and the device did not produce accurate results. The technology was flawed, and the company had misled investors, doctors, and patients about its capabilities. Theranos' practices raised serious concerns about patient safety and the integrity of medical testing.

In this case, the government played a crucial role in ensuring that the bad business practices of Theranos were addressed. The U.S. Food and Drug Administration (FDA) and the Centers for Medicare and Medicaid Services (CMS) conducted investigations into the company's operations and found numerous regulatory violations and deficiencies. The FDA revoked the company's approval to use its blood-testing device and imposed sanctions, while the CMS banned Elizabeth Holmes from owning or operating a laboratory for a period of two years.

These actions by the government were important in protecting public health and holding the company accountable for its deceptive practices. They highlighted the need for proper regulation and oversight in the healthcare industry to ensure the safety and efficacy of medical devices and services. The Theranos case also underscored the importance of transparency, scientific validation, and adherence to regulatory standards in bringing products to market.

Overall, the government's role in this case was to enforce regulations, investigate fraudulent claims, and impose penalties to safeguard public health and maintain the integrity of the market system.

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on august 1, 2019, colombo co.’s treasurer signed a note promising to pay $2,400,000 on december 31, 2019. the proceeds of the note were $2,340,000.

Answers

Colombo Co. issued a note payable with a face value of $2,400,000 on August 1, 2019. However, after deducting the issuance costs of $60,000, the net cash received by the company was $2,340,000.

On August 1, 2019, Colombo Co. issued a note payable with a face value of $2,400,000 and proceeds of $2,340,000. The difference between the face value and the proceeds of the note is attributable to the issuance costs incurred by the company. These costs are typically deducted from the proceeds received to determine the net cash amount received.

The issuance costs associated with issuing a note payable include various expenses such as legal fees, underwriting fees, and other administrative costs incurred by the company. In this case, the issuance costs amount to $60,000 ($2,400,000 - $2,340,000). The net cash received by Colombo Co. is $2,340,000, which represents the proceeds of the note after deducting the issuance costs. The face value of the note payable, $2,400,000, represents the amount that Colombo Co. is obligated to repay on December 31, 2019.

In conclusion, Colombo Co. issued a note payable with a face value of $2,400,000 on August 1, 2019. However, after deducting the issuance costs of $60,000, the net cash received by the company was $2,340,000. This net cash amount represents the actual funds available to Colombo Co., while the face value of the note represents the total amount that the company is liable to repay on the maturity date.

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Each of the following independent situations represents amounts shown on the four basic financial statements. 1. Revenues $25.800, Expenses $17,400. Net income = 2. Increase in stockholders' equity-$17,000, Issuance of common stock - $11,000; Net income-$11,400; Dividends 3. Assets $23,400. Stockholders' equity- $15,000; Liabilities 4. Total change in cash-$24,800, Net operating cash flows = $32,800; Net investing cash flows = ($15,800); Net financing cash flows
Required: Fill in the formulas and missing blanks using your knowledge of amounts that appear on the financial statements.

Answers

By filling in the formulas and missing blanks with the given values, we can calculate the missing amounts or formulas based on the relationships between the financial statement items.

Revenues $25,800, Expenses $17,400. Net income =

Net income = Revenues - Expenses

Increase in stockholders' equity-$17,000, Issuance of common stock - $11,000; Net income-$11,400; Dividends =

Increase in stockholders' equity = Net income + Issuance of common stock - Dividends

Assets $23,400. Stockholders' equity- $15,000; Liabilities =

Assets = Liabilities + Stockholders' equity

Total change in cash-$24,800, Net operating cash flows = $32,800; Net investing cash flows = ($15,800); Net financing cash flows =

Total change in cash = Net operating cash flows + Net investing cash flows + Net financing cash flows

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What are indicators that a firm is an agent rather than a principal?

Answers

A principal is an individual, partnership, or corporation that appoints or authorizes another individual, partnership, or corporation to conduct business on its behalf, whereas an agent is an individual, partnership, or corporation that conducts business on behalf of a principal or acts on its behalf.

Therefore, if a firm is serving as an agent, then it is carrying out business activities on behalf of another firm. To identify whether a firm is an agent or principal, the following indicators can be observed:The scope of control: If the firm has a limited degree of control over its operations, it is more likely to be an agent than a principal. The level of control a firm has over its operations depends on the terms of the agreement it has with its principal.

The nature of transactions: If a firm engages in transactions that benefit its principal rather than itself, it is more likely to be an agent than a principal. The firm may engage in activities that generate profits for its principal, but it will not benefit directly from those activities.The risk-bearing capacity: If the firm bears a limited degree of risk, it is more likely to be an agent than a principal.

In contrast, if the agent has unlimited liability, it is more likely to be a principal.The level of investment: If the firm has made a significant investment, it is more likely to be a principal than an agent. An agent typically does not invest in the principal's business, but a principal will invest in its own business.The nature of the relationship: If the relationship between the firm and the principal is ongoing, it is more likely to be a principal than an agent.

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Moving to another question will save this response. Question 13 5 points The following table presents information on a potential project currently being evaluated by XYZ. Which assertion about statement 1 and statement 2 is true? Expected cash flows (number of years from today) Cost of capital 0 1 2 3 4 477.000.00 $35,000.00 $21,000.00 $32,000.00 $5,000.00 15.20% Statement 1, XYZ would accept the project based on the project's not present value and the NPV rule Salement 2: XZ would accept the project based on the projects payback period and the payback rule if the payback threshold is 2.00 years Sunement is true and statement 2 Salamat 1 is true and statement 2 is tase Mise and statement 2 Statamis tale and statement 2 rue Question 13 of 20 Question 13 of 20 Save Answer

Answers

The correct answer is Salamat 1 is true and statement 2 is false. Statement 1 suggests that XYZ would accept the project based on the project's present value and the NPV rule.

It is an accurate statement because the NPV of the project is more significant than 0, which implies that the project would create value for the company. Statement 2, on the other hand, is incorrect because the payback period of the project is more than two years, which exceeds the company's payback threshold of two years.

The payback period is the time it takes for the project to recoup its initial investment. When the payback period exceeds the payback threshold, the project is typically not accepted. The assertion that statement 1 is correct and statement 2 is incorrect is, therefore, the right response. In conclusion, the project in question would be accepted based on the NPV rule because its NPV is more significant than zero, but it would be rejected based on the payback rule because the payback period is longer than the company's payback threshold of two years.

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The real risk-free rate is 2.05%. Inflation is expected to be 3.05% this year, 4.75% next year, and 2.3% thereafter. The maturity risk premium is estimated to be 0.05 × (t − 1)%, where . What is the yield on a 7-year Treasury note?

Answers

The yield on a 7-year Treasury note can be expressed as 5.11%

How can the  yield be calculated?

Given that

Real risk-free rate = r*

= 2.05%.

Inflation Rate = 3.05% this year,

4.75% next year,

2.3% thereafter.

Time = 7 years

Maturity risk premium, can be expressed as [ 0.05(t- 1)%]

The average inflation rate for the next 7 years can e expressed as;

[((3.05% * 1) + (4.75% * 1) + (2.3% * (7-2)))/7]

Note that Inflation Rate =3.05% this year (1 year),

Inflation Rate= 4.75% next yea

Inflation Rate= 2.3% thereafter (7-2=5 years).

(3.05% + 4.75% + 11.5%)/7

= 19.3%/7

= 2.757142857142857%

= 2.76%

We have, IP7 = 2.76%, then yield on a 7-year Treasury note  can be expressed as r* + IP7 + MRP

Yield =[ 2.05% + 2.76% + 0.05(t- 1)%] where t = 7

= [4.81% + 0.05(7-1)%]

=[ 4.81% + 0.05*6%]

4.81% + 0.3%

5.11%

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With a loan collateralized by receivables,
A the bank makes the loan without recourse.
B a company receives cash and is not responsible for repaying the loan.
C a company receives cash and is responsible for repaying the loan.
D the bank has recourse against the accounts receivable customers.

Answers

With a loan collateralized by receivables, the bank has recourse against the accounts receivable customers. Therefore, option D is correct.

When a loan is collateralized by receivables, it means that the borrower pledges their accounts receivable as collateral for the loan. In this context, option D, "the bank has recourse against the accounts receivable customers," is the correct answer.

Recourse refers to the right of the lender (in this case, the bank) to seek repayment from a third party if the borrower defaults on the loan. In a loan collateralized by receivables, the bank has the ability to pursue the accounts receivable customers for repayment if the borrower fails to fulfill their obligations.

Options A, B, and C are not accurate in this scenario:

A) The bank making the loan without recourse means that the bank is assuming the risk of non-payment and does not have the ability to seek repayment from the accounts receivable customers. However, in a loan collateralized by receivables, the bank does have recourse.

B) The company receiving cash and not being responsible for repaying the loan does not align with the nature of a collateralized loan. The borrower is responsible for repaying the loan, and the accounts receivable serve as collateral to secure the loan.

C) Similarly, a company receiving cash and being responsible for repaying the loan is a common characteristic of most loans, but it does not specifically describe the situation of a loan collateralized by receivables.

In a loan collateralized by receivables, the bank has recourse against the accounts receivable customers, allowing them to seek repayment from those customers if the borrower defaults on the loan.

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Sunshine Limited has the following equity accounts on January 1, 2022:
Share Capital—Ordinary (€4 par, 200,000 shares issued) €800,000 Share Premium—Ordinary €300,000
Retained Earnings €300,000.
In 2022, the company had the following treasury share transactions.
February: The firm pays a dividend of €1.0 per share. The dividend was announced by
the board of directors in October of the previous fiscal year.
April: Issued 20,000 ordinary shares at a price of €20.
July: The company repurchases 20,000 shares at €15 per share.
September: Sold 12,000 shares at €18 per share.
November: Sold 8,000 shares at €7 per share.
Sunshine uses the cost method of accounting for treasury shares. In 2022, the company reported a net loss of €20,000.
Instructions
a. Journalize the treasury share transactions, and prepare the closing entries on December 31, 2022, for net income and dividends.
b. Open T-accounts for (1) Share Capital – Ordinary; (2) Share Premium – Ordinary; (3) Treasury Shares; (4) Share Premium—Treasury, (5) Retained Earnings. Post to these accounts (without using a posting reference).
c. Prepare the equity section for Sunshine Limited at December 31, 2022.

Answers

a. Journalizing the treasury share transactions and preparing closing entries:

February:

Dividends (200,000 shares * €1.0) 200,000

Dividends Payable 200,000

April:

Cash (20,000 shares * €20) 400,000

Share Capital—Ordinary 80,000

Share Premium—Ordinary 320,000

July:

Treasury Shares (20,000 shares * €15) 300,000

Cash 300,000

September:

Cash (12,000 shares * €18) 216,000

Treasury Shares 144,000

Share Premium—Treasury 72,000

November:

Cash (8,000 shares * €7) 56,000

Treasury Shares 96,000

Share Premium—Treasury 40,000

Closing Entries (December 31, 2022):

Net Income/Loss (€20,000) 20,000

Retained Earnings 20,000

Dividends Payable 200,000

Dividends 200,000

b. T-Accounts:

(1) Share Capital—Ordinary

markdown

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                              Debit              Credit

January 1, 2022 800,000

April 1, 2022 80,000

December 31, 2022 80,000

(2) Share Premium—Ordinary

markdown

Copy code

                              Debit              Credit

January 1, 2022 300,000

April 1, 2022 320,000

December 31, 2022 320,000

(3) Treasury Shares

markdown

Copy code

                              Debit              Credit

January 1, 2022

April 1, 2022 400,000

July 1, 2022 300,000

September 1, 2022 144,000

November 1, 2022 96,000

December 31, 2022 40,000

(4) Share Premium—Treasury

markdown

Copy code

                              Debit              Credit

January 1, 2022

September 1, 2022

November 1, 2022 72,000

December 31, 2022 72,000

(5) Retained Earnings

markdown

Copy code

                              Debit              Credit

January 1, 2022 300,000

December 31, 2022 280,000

Net Income/Loss 20,000

c. Equity Section at December 31, 2022:

Equity Section:

Share Capital—Ordinary €720,000 (200,000 shares * €4 par)

Share Premium—Ordinary €320,000

Treasury Shares (20,000 shares)

Share Premium—Treasury €72,000

Retained Earnings €280,000

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At the beginning of the period, the Cutting Department budgeted direct labor of $56,000 and supervisor salaries of $27,800 for 2,800 hours of production. The department actually completed 3,100 hours of production. Determine the budget for the department assuming that it uses flexible budgeting

Answers

The budget for the Cutting Department, using flexible budgeting, would be $89,800.

The budget for the Cutting Department, using flexible budgeting, can be determined as follows:

The budgeted direct labor cost for 2,800 hours of production was $56,000. To calculate the direct labor cost per hour, we divide the total budgeted direct labor cost by the budgeted number of hours:

Direct labor cost per hour = Budgeted direct labor / Budgeted hours

Direct labor cost per hour = $56,000 / 2,800 hours

Direct labor cost per hour = $20

Now, since the actual production hours were 3,100, we can calculate the flexible budget for direct labor by multiplying the actual hours by the direct labor cost per hour:

Flexible budget for direct labor = Actual hours * Direct labor cost per hour

Flexible budget for direct labor = 3,100 hours * $20

Flexible budget for direct labor = $62,000

In addition to the direct labor cost, the supervisor salaries were budgeted at $27,800. This amount remains the same regardless of the actual production hours, as it represents a fixed cost. Therefore, the budget for the department, considering flexible budgeting, would be:

Budget for the Cutting Department = Flexible budget for direct labor + Supervisor salaries

Budget for the Cutting Department = $62,000 + $27,800

Budget for the Cutting Department = $89,800

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What is the PV of an ordinary annuity with 10 payments of $2700 if the appropriate interest rate is 6.5%?

Answers

The present value of the ordinary annuity with 10 payments of $2,700 at an interest rate of 6.5% is approximately $22,024.31.

The present value (PV) of an ordinary annuity can be calculated using the formula:

PV = Payment × (1 - (1 + interest rate)^(-number of periods)) / interest rate

In this case, the payment is $2,700, and the interest rate is 6.5%. The number of periods is 10, as there are 10 payments in total.

Plugging these values into the formula, we can calculate the PV:

PV = $2,700 × (1 - (1 + 0.065)⁽⁻¹⁰⁾/ 0.065

Evaluating the expression inside the parentheses:

PV = $2,700 × (1 - (1.065)⁽⁻¹⁰⁾⁾ / 0.065

Simplifying further:

PV = $2,700 × (1 - 0.46319) / 0.065

PV = $2,700 × 0.53681 / 0.065

PV = $22,024.31

This represents the current worth of the future cash flows discounted at the given interest rate.

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____ is a useful sales and marketing tool to help companies match customers with products they would be likely to purchase.

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Data analysis is a useful sales and marketing tool to help companies match customers with products they would be likely to purchase.

Data analysis involves examining large sets of data to identify patterns, trends, and insights that can inform sales and marketing strategies. By analyzing customer data such as purchase history, browsing behavior, demographics, and preferences, companies can gain valuable insights into their customers' preferences and tailor their marketing efforts accordingly.

With the help of data analysis, companies can segment their customer base and create targeted marketing campaigns that are more likely to resonate with specific customer groups. By understanding customers' past purchases and preferences, companies can recommend products that align with their interests and increase the likelihood of making a purchase.

Data analysis also enables companies to track customer behavior in real-time, allowing them to adapt their marketing strategies and offers based on changing trends and customer needs. By continually analyzing and interpreting customer data, companies can refine their sales and marketing approaches, improving customer satisfaction and maximizing sales opportunities.

In conclusion, data analysis is a valuable sales and marketing tool that enables companies to match customers with products they are likely to purchase. By analyzing customer data, companies can gain insights into customer preferences, behavior, and trends, allowing them to create targeted marketing campaigns and personalized product recommendations. This approach enhances customer engagement, improves sales effectiveness, and ultimately leads to greater customer satisfaction and business success.

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Take me to the text Alexon Limited is considering producing a new line of high quality snowboards. The company will incur $52 in variable product costs for each snowboard produced. Fixed manufacturing overhead costs amount to $160,000. Do not enter dollar signs or commas in the input boxes. Round your answer to 2 decimal places.
a) Assume that the company has a policy to set product prices equal to the variable cost plus 81%. Determine how much the company would sell each snowboard for. Selling Price: $____
b) Assume that the company has a pricing policy that requires their products to be sold at full cost plus 53%. For the upcoming year, it believes it can produce and sell a total of 5,500 snowboards. Determine how much the company would sell each snowboard for. Full Cost per Unit: $ Selling Price: $_____

Answers

a) The company would sell each snowboard for $97.32.

b) The full cost per unit is $97.32 and the selling price would be $148.92.

a) To determine the selling price when the company sets it equal to the variable cost plus 81%, we add 81% of the variable cost to the variable cost itself. The variable cost per snowboard is $52, so 81% of $52 is $42.12. Adding this to the variable cost, we get $52 + $42.12 = $94.12. Rounding to 2 decimal places, the selling price is $97.32.

b) To determine the selling price when the company follows the pricing policy of selling at full cost plus 53%, we need to calculate the full cost per unit. The full cost includes both variable costs ($52) and fixed manufacturing overhead costs ($160,000).

Dividing the total fixed costs by the expected production quantity (5,500), we get $160,000 / 5,500 = $29.09. Adding the variable cost per unit and the full cost per unit, we get $52 + $29.09 = $81.09. Adding 53% of the full cost to the full cost, we get $81.09 + (53% * $81.09) = $148.92.

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one reason that college graduates earn higher wages than non-graduates is because

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College graduates earn higher wages than non-graduates due to several reasons. One of the main reasons is that college graduates possess higher levels of skills and education, which are in higher demand by employers and command higher salaries.

Higher levels of education and skills make college graduates more productive and capable of performing more complex tasks, making them more valuable in the job market.Additionally, college graduates have access to more high-paying jobs, particularly in professional and managerial positions, which require college degrees and provide better pay and benefits.

Moreover, college graduates are also more likely to receive promotions and salary increases over the course of their careers due to their higher levels of education and skills. Finally, college graduates also tend to have better job security, as they are less likely to be laid off or unemployed during economic downturns compared to non-graduates.

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Which of the following is not a characteristic of common stock?
a. It provides voting rights.
b. It does not mature.
c. It pays dividends that are tax deductible to the firm.
d. It has no price ceiling.

Answers

It pays dividends that are tax deductible to the firm is not a characteristic of common stock. The correct option is c.

Common stock dividends are typically not tax deductible for the company. When a business pays dividends to the holders of its common stock, it typically does so using after tax profits. This indicates that before the profits were distributed as dividends, the company had already paid taxes on them. Dividends paid to common stockholders are therefore typically not deductible as an expense for tax purposes.

On the other hand, a business may be able to deduct some interest payments it makes, like those on debt or preferred stock. Dividends given to owners of common stock, however, do not belong in this category. The correct option is c.

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Calculate the closing cash balance if the opening cash balance is £2,000, net cash used in operating activities is £8,000, net cash from investing activities is £20,000 and net cash used in financing activities is £9,000 Select one: a. positive £39,000 b. negative £39,000
c. positive £5,000
d. negative £5,000

Answers

The closing cash balance is calculated by the formula: Opening cash balance + net cash inflows – net cash outflowsWe are given the following values:Opening cash balance = £2,000Net cash used in operating activities = £8,000Net cash from investing activities = £20,000

Net cash used in financing activities = £9,000Now we will substitute the values in the formula,Opening cash balance + net cash inflows – net cash outflows= £2,000 + (£20,000) – (£8,000 + £9,000)= £2,000 + £20,000 - £17,000= £5,000Therefore, the closing cash balance is positive £5,000.

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Blue Company sells a product for $50 each and the variable cost is $20 per unit. The monthly fixed expense is $800.

Required:
1. Calculate the company's contribution margin ratio.
2. Calculate the company's operating income if they sell 100 units next month.

Answers

Contribution Margin Ratio (CMR) is calculated by dividing the contribution margin by the revenue of the company.

So, let's calculate the contribution margin first. Contribution Margin (CM) is calculated by subtracting the total variable cost from the revenue.

Here, we are given that the product sells for $50 each and the variable cost is $20 per unit.

Therefore, CM = (50 - 20) = $30 per unit.

Now, let's calculate the contribution margin ratio.

1. Contribution Margin Ratio = (CM / Revenue) × 100%.CM = $30 per unit Revenue = $50 per unitSo, CMR = (30 / 50) × 100% = 60%.Therefore, the company's contribution margin ratio is 60%.

2. The company's operating income if they sell 100 units next month is calculated as follows:

Total Sales Revenue = $50 × 100 = $5000Total Variable Cost = $20 × 100 = $2000Total Fixed Cost = $800Operating Income = Total Sales Revenue - Total Variable Cost - Total Fixed Cost= $5000 - $2000 - $800 = $2200

Therefore, the company's operating income if they sell 100 units next month is $2200.

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please help!!!
The balance sheet of Cattleman's Steakhouse shows assets of $85,600 and liabilities of $13,900. The fair value of the assets is $90,800 and the fair value of its liabilities is $13,900. Longhorn paid

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Longhorn should record goodwill on this purchase, based on information given in the balance sheet, of $7,320. Therefore, the correct option is B.

In the given case, Longhorn paid Cattleman's $84,220 to acquire all of its assets and liabilities. To calculate the goodwill on this purchase, we need to determine the total fair value of the assets and liabilities. The total fair value of the assets and liabilities is given as follows:

$90,800 (fair value of assets) - $13,900 (fair value of liabilities) =$76,900

Therefore, the goodwill on this purchase is:

$84,220 (total price paid) - $76,900 (total fair value) = $7,320

Therefore, the correct option is B) $7,320.

Note: The question is incomplete. The complete question probably is: The balance sheet of Cattleman's Steakhouse shows assets of $85,600 and liabilities of $13,900. The fair value of the assets is $90,800 and the fair value of its liabilities is $13,900. Longhorn paid Cattleman's $84,220 to acquire all of its assets and liabilities. Longhorn should record goodwill on this purchase of: Multiple Choice A) $1,380, B) $7,320 C) $12.520 D) $2,600.

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Lockhart Industries reported total stockholders' equity of $415,000 on its balance sheet dated December 31, 2021. During the year ended December 31, 2022, the company declared and paid a cash dividend of $15,500, declared and distributed a 10% stock dividend with a $16,000 total market value, and issued additional common stock for $95,000. If total stockholders' equity as of December 31, 2022 is $527,000, what was the amount of net income for the year ended December 31, 2022? O $48,500 O $32,500 O $63,500 O $79,500

Answers

The amount of net income for the year ended December 31, 2022, is $143,500.

To calculate the net income for the year ended December 31, 2022, we need to consider the changes in stockholders' equity and the dividends paid.

Given information:

Stockholders' equity on December 31, 2021: $415,000

Cash dividend paid: $15,500

Stock dividend declared and distributed (10% with a total market value of $16,000)

Additional common stock issued for $95,000

Stockholders' equity on December 31, 2022: $527,000

We can calculate the net income using the following formula:

Net Income = Ending Stockholders' Equity - Beginning Stockholders' Equity + Dividends

Beginning Stockholders' Equity = Stockholders' equity on December 31, 2021 = $415,000

Ending Stockholders' Equity = Stockholders' equity on December 31, 2022 = $527,000

Dividends = Cash dividend paid + Stock dividend value = $15,500 + $16,000 = $31,500

Net Income = $527,000 - $415,000 + $31,500 = $143,500

Therefore, the amount of net income for the year ended December 31, 2022, is $143,500.

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Demonstrate whether it can ever be optimal for the platform to offer its services to patients for free. How much will you charge hospitals for accessing the service? Draw general lessons from the analysis to guide pricing decisions of multi-sided platforms.

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Platforms offer free services to patients if it is optimal for them. A multi-sided platform is a company that connects two or more groups of customers. A patient portal is one example of a multi-sided platform that connects patients with health care providers.

Pricing decisions for multi-sided platforms depend on the costs and benefits of the different groups of customers involved. If the costs and benefits of offering free services to patients outweigh the costs and benefits of charging for them, then it is optimal for the platform to offer its services for free. Hospitals can be charged a fee for accessing the platform's services. This fee can be based on the value that the platform provides to the hospital. For example, if the platform helps the hospital reduce costs or increase revenue, then the fee can be based on the value of those benefits. Alternatively, the fee can be based on the cost of providing the service to the hospital.

General lessons that can guide pricing decisions for multi-sided platforms include the following: Understand the costs and benefits of each group of customers involved. Price based on the value provided to each group of customers. Consider the network effects of the platform, which can increase the value of the platform as more customers join. Be transparent about pricing to build trust with customers. Experiment with different pricing models to find the optimal pricing strategy.

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Which of the following utility functions V is a positive monotonic transformations of the corresponding utility functions U? OA. U = x1-2x2-2 and V = x1²x2² -3 B. U = x₁2x2² and V = x₁-³x2-³

Answers

U=x₁²x₂² and V = x₁⁴x₂⁴ +100 among following utility capabilities V is a positive monotonic changes of the comparing utility capabilities U. Option C is correct.

Utility is the comprehensive benefits that a product or service provides. This summarizes the utility definition. Most of the time, consumers would try to get the most out of their money by making the best decisions based on economic models.

The utility capability numerically addresses the value or fulfillment inferred by a person by consuming a container of merchandise. This function measures people's preferences for a collection of goods and services and converts each bundle of products into a unit.

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Complete question as follows:

Which of the following utility functions V is a positive monotonic transformations of the corresponding utility functions U?

A. U = x₁⁻² x₂⁻² and V = x₁²x₂² -3

B. U = x₁² x ₂² and V = x₁-³x₂-³ + 100

C. U = x₁²x₂² and V = x₁⁴ x₂⁴ +100

D. U = x₁²x₂² and V = x₁⁻⁶x₂⁻⁶

if the euro price per dollar falls, what impact will this change have on the european demand for u.s. goods and the cost of u.s. goods to europeans?

Answers

If the euro price per dollar falls, it means that the euro has weakened relative to the dollar. This change will have the following impacts:

1. European demand for U.S. goods: The fall in the euro price per dollar makes U.S. goods relatively more expensive for Europeans. As a result, the demand for U.S. goods in Europe is likely to decrease. This is because Europeans will need to spend more euros to purchase the same amount of U.S. goods.

2. Cost of U.S. goods to Europeans: Since the euro has weakened, it takes more euros to buy a given amount of U.S. goods. Therefore, the cost of U.S. goods to Europeans increases. Europeans will need to spend more euros to import U.S. goods, making them more expensive in the European market.

Overall, the fall in the euro price per dollar leads to a decrease in the European demand for U.S. goods and an increase in the cost of U.S. goods to Europeans. This can have implications for trade flows and competitiveness between the two regions.

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assume the tuns’ house catches on fire and adora and jorge experience a $150,000 loss. how much will the insurance company reimburse adora and jorge for the loss?

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The insurance company will reimburse Adora and Jorge based on the terms of their policy, and it depends on factors such as deductibles, coverage limits, and depreciation.

The amount the insurance company will reimburse Adora and Jorge for the $150,000 loss depends on the terms and coverage of their insurance policy.

Insurance policies typically have different coverage limits and deductibles that determine the amount of reimbursement in case of a covered loss. The reimbursement amount is usually subject to the policy's terms, conditions, and exclusions.

Assuming Adora and Jorge have a homeowner's insurance policy that covers fire damage and the loss is within the policy's coverage limit, they may be eligible for reimbursement. However, they may also need to consider factors such as deductibles and depreciation.

If their insurance policy covers the full $150,000 loss without any deductibles or depreciation considerations, the insurance company would reimburse them the entire amount of $150,000.

However, if the policy includes a deductible, such as $1,000, the insurance company would reimburse them for the loss amount minus the deductible. In this case, they would receive $150,000 - $1,000 = $149,000.

Additionally, if the policy considers depreciation or actual cash value (ACV) instead of replacement cost, the reimbursement amount may be further reduced based on the depreciated value of the damaged property.

Ultimately, without specific details about the insurance policy's terms, coverage, deductibles, and depreciation considerations, it is difficult to determine the exact amount the insurance company will reimburse Adora and Jorge for their $150,000 loss.

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Which of the following are limitations of GDP as a measure of human well-being (check all the apply)?
a. GDP fails to account for the loss of leisure time
b. GDP includes the benefits of intermediate goods
c. GDP doesn't account for 'natural capital' like a nation's forests
d. GDP fails to account for an unequal distribution of income

Answers

The following are limitations of GDP as a measure of human well-being:

A. GDP fails to account for the loss of leisure time

C. GDP doesn't account for 'natural capital' like a nation's forests

D. GDP fails to account for an unequal distribution of income.

GDP is a rough indicator of a society's standard of living because it does not directly take into account factors like leisure, environmental quality, health and education levels, activities carried out outside of the market, changes in income inequality, increases in variety and technology, or the value that society may place on particular types of output, whether that value is positive or negative. The correct answer is option A, C & D.

Time for leisure is not taken into account in GDP. GDP encompasses expenditures on education, healthcare, and preservation of the environment, but not on real levels of hygiene, well-being, or knowledge. GDP comprises expenditures on medical care, schooling, and protecting the environment, but not on real standards of sanitation, welfare, or study.

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In the demand for labor for a firm was expressed as L = N x average hours per employee per day. Assume a firm has 50 employees that average 6 hours per day for 300 man-hours per day. A minimum wage is passed and reduces demand to 240 man-hours per day. Answer the following questions.
a. How many layoffs are required if average hours per employee are not reduced? Explain.
b. If no layoffs are made, what would the average hours per employee be set to? Explain.

Answers

a) The number of layoffs required if average hours per employee are not reduced is 10. b)  If no layoffs are made, 4.8 hours per day the average should be set.

a) The demand for labor for a firm was expressed as L = N × average hours per employee per day. If a minimum wage is passed and reduces demand to 240 man-hours per day, it implies that the new demand is 240 man-hours per day.

Therefore, to calculate the number of layoffs, we can equate the new demand to the old demand and solve for N.L = 300 = N × 6N = 300/6 = 50 employees.

Thus, the firm had 50 employees. Now, due to the minimum wage, the demand for labor has reduced to 240 man-hours per day.

To determine how many layoffs are required if average hours per employee are not reduced, we can equate the new demand with the old demand and solve for N.L = 240 = N × 6N = 240/6 = 40 employees.

Therefore, the firm must layoff 10 employees since it has 50 - 40 = 10 employees more than it needs to meet the demand for labor.

b) The demand for labor for a firm was expressed as L = N × average hours per employee per day. If no layoffs are made, it means the firm still has 50 employees.

To find the new average hours per employee, we can equate the new demand to the old demand and solve for the average hours per employee.

L = 240 = 50 × hours per employee

Therefore, hours per employee = 240/50 = 4.8 hours/day.

Thus, if no layoffs are made, the average hours per employee will have to reduce from 6 to 4.8 hours/day.

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In its year-end financial statements, Pillar Inc. reported the following (in millions): 2016 2015 Sales $37.766 $46,071 Cost of goods sold $28,309 $32,875 As a percentage of sales, did Pillar's gross profit increase or decrease during the year? Select one: O a. Gross profit increased from 71.4% to 75.0% O b. Gross profit increased from 25.0% to 28.6% O c. There is not enough information to answer the question. d. Gross profit decreased from 75.0% to 71.4% e. Gross profit decreased from 28.6% to 25.0% « Previous Save Answers Caterpillar 10-K Fi....pdf ^ 42593d88-fb6f-4a3.xls O Tune here to search O < 19 42593d88-fb6f-4a3...xds 27

Answers

As a percentage of sales, Gross profit decreased from 28.6% to 25.0%

So, the answer is E.

In its year-end financial statements, Pillar Inc. reported the following (in millions):

2016 2015 Sales

$37.766 $46,071 Cost of goods sold

$28,309 $32,875

As a percentage of sales, Pillar's gross profit decreased during the year.

The gross profit percentage for 2015 is 28.6% and the gross profit percentage for 2016 is 24.9991% (approx. 25.0%).

Thus, the correct option is e. Gross profit decreased from 28.6% to 25.0%

.Formula for calculating gross profit is :

Gross profit = Sales - Cost of goods sold

Gross profit percentage = (Gross profit / Sales) × 100

In order to calculate the gross profit percentage, we need to calculate gross profit first and then use the above formula. So, we have:

Gross profit 2015 = Sales 2015 - Cost of goods sold 2015= $46,071 - $32,875= $13,196

Gross profit 2016 = Sales 2016 - Cost of goods sold 2016= $37.766 - $28,309= $9,457

Gross profit percentage 2015 = (Gross profit 2015 / Sales 2015) × 100= (13,196 / 46,071) × 100= 28.6%

Gross profit percentage 2016 = (Gross profit 2016 / Sales 2016) × 100= (9,457 / 37.766) × 100≈ 24.9991% (approx. 25.0%)

Therefore, the correct option is e. Gross profit decreased from 28.6% to 25.0%. 2015 sales $37,766 $46,071

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Other Questions
3. Voluntary contributions toward a public good Susan and Becky are considering contributing toward the creation of a water fountain. Each can choose whether to contribute $300 to the water fountain or to keep that $300 for a cell phone. Since a water fountain is a public good, both Susan and Becky will benefit from any contributions made by the other person. Specifically, every dollar that elther one of them contributes will bring each of them $0.90 of benefit. For example, if both Susan and Becky choose to contribute, then a total of 5600 would be contributed to the water fountain. So, Susan and Becky would each receive $540 of benefit from the water fountain, and their combined benefit would be $1,080. This is shown in the upper left cell of the first table. Since a cell phone is a private good, If Susan chooses to spend $300 on a cell phone, Susan would get $300 of benefit from the cell phone and Becky wouldn't receive any benefit from Susan's choice. If Susan still spends $300 on a cell phone and Becky chooses to contribute $300 to the water fountain, Susan would still receive the $270 of benefit from Becky's generosity. In other words, If Susan decides to keep the $300 for a cell phone and Becky decides to contribute the $300 to the public project, then Susan would receive a total benefit of $300 + $270 = $570, Becky would receive a total benefit of $270, and their combined benefit would be s840. This is shown in the lower left cell of the first table. Complete the following table, which shows the combined benefits of Susan and Becky as previously described. Becky Doesn't contribute S Contributes $1,000 $840 Contributes Doesn't contribute Susan of the four cells of the table, which gives the greatest combined benefits to Susan and Becky? When both Susan and Becky contribute to the water fountain When neither Susan nor Becky contributes to the water fountain When Susan contributes to the water fountain and Becky doesn't, or vice versa of the four cells of the table, which gives the greatest combined benefits to Susan and Becky? O When both Susan and Becky contribute to the water fountain When neither Susan nor Becky contributes to the water fountain O When Susan contributes to the water fountain and Becky doesn't, or vice versa Now, consider the incentive facing Susan individually. The following table looks similar to the previous one, but this time, it is partially completed with the individual benefit data for Susan. As shown previously, if both Susan and Becky contribute to a public good, Susan receives a benefit of $540. On the other hand, if Becky contributes to the water fountain and Susan does not, Susan receives a benefit of $570. Complete the right-hand column of the following table, which shows the individual benefits of Susan. Hint: You are not required to consider the benefit of Becky. Becky Doesn't contribute Contribute $540, -- Contribute $ Susan Doesn't contribute $570, -- If Becky decides to contribute to the water fountain, Susan would maximize her benefit by choosing the other hand, if Becky decides not to contribute to the water fountain, Susan would maximize her benefit by choosing to the water fountain. On to the water fountain. These results illustrate Doesn't contri the free-rider problem to the water fountain. On the Tragedy of the Commons If Becky decides to con Juld maximize her benefit by choosing the other hand, if Beck the creation of a positive externality fountain, Susan would maximize her benefit by choosing water fountain. why markets are efficient to the These results illustrate the Tragedy of the Commons Read the excerpt from Hidden Figures.As the work intensified, something that had been hibernating in her mind awakened, and once roused it would not go away. She considered the issue and checked its logic, just as she did with her analytical work. At first she asked it only of herself, but eventually she came to the engineers with the question."Why can't I go to the editorial meetings?" she asked the engineers. A postgame recap of the analysis wasn't nearly as thrilling as being there for the main event. How could she not want to be a part of the discussion? They were her numbers, after all."Girls don't go to the meetings," Katherine's male colleagues told her.Which statements best summarize the excerpt? Katherine Goble became more dedicated to her job as the work intensified. She asked to go to the editorial meetings so she could better understand what happened in them, but she was told that girls were not allowed to attend the meetings. Katherine Goble became more determined to ask for a larger role as the scope of the work grew.Unsatisfied with summaries of the analysis that took place in the meetings, she asked why she could not go to the editorial meetings and was told that girls could not attend. Katherine Goble became upset that she was not allowed to attend editorial meetings as her work became more involved. When she asked why she could not attend the meetings, she was given an unfair answer that upset her. 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The company, with over $13.5 billion in annual sales worldwide, partially finances its operation through the issuance of debt. At the beginning of its 2015 fiscal year, it had $6.5 billion in total debt. At the end of fiscal year 2015, its total debt had increased to $6.6 billion. Its fiscal 2015 interest expense was $227 million, and its assumed statutory tax rate was 37%. Kellogg has an estimated market beta of 0.60. Assume that the expected risk-free rate is 2.5% and the expected market premium is 5%.Kelloggs stock closed at $76.38 on December 31, 2015. On that same date, the company had 420,315,589 shares issued, of which 70,291,514 shares were in treasury.a. What is Kelloggs total market capitalization as of December 31, 2015?Enter answer in billions, rounding to one decimal place.$AnswerCorrectMark 1.00 out of 1.00billionb. Compute Kelloggs WACC.Use your rounded answer above for computation.Round answer to one decimal place (ex: 0.0245 = 2.5%). 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The bond interest is paid semiannually on June 30 and December 31 every yea how does the author use the allusion to sherlock holmes in the passage? Which of the following actions are grounds for disciplinary action by the Board?(a) Aiding and abetting an unlicensed person, who does not qualify for an exemption, in the practice of engineering(b) Using the title "Aerospace Engineer" when not licensed in California or in another state(c) Failure to appear for a scheduled examination at the appropriate examination site(d) Failure to renew licensure when not practicing in California Crane Industries expects credit sales for January, February, and March to be $281.600, $332,800, and $384.000, respectively. It is expected that 75% of the sales will be collected in the month of sale why is it important that the collection tube stays below the water level? Question 4: Consolidation accounting for intragroup transactions Sydney Ltd owns 100 per cent of the shares of Melbourne Ltd, acquired on 1 July 2020 for $14 million when the shareholders' funds of Me Assume that there are two sources of pollution into a lake. The local water authority can clean up the discharges and reduce pollution levels from these sources but there are, of course, costs involved. The damage effects of each pollution source are measured on a 'pollution scale'. The lower the pollution level the greater the cost of achieving it, as is shown by the cost schedules for cleaning up the two pollution sources: Z = 478- - 200,5 Z = 600- - 32,5 where Z and Z2 are pollution levels and C and C are expenditure levels (in TL000s) on reducing pollution. To secure an acceptable level of water purity in the lake the water authority's objective is to reduce the total pollution level to 1,000 by the cheapest method. How can it do this? SHORT-RUN COSTS and OPTIMIZATION: Consider the following production function: Q = K1/3 L1/3. Let the price of output be P = $100 and factor prices w = $5 and r = $10.a) Assume that K is fixed at 64. What are the short-run costs? C=wL + r(64)?.b) Plot cost versus output. Show that costs are accelerating. Why is this the case? (hint. What are the returns to scale?)c) What is the firm's optimization problem?d) What is the supply function for this firm? Eg, what is the relationship between market prices and the firm's optimal choice of output. Hint: look at MC = P. Confirm that higher P leads to higher Q.e) Graph the supply curve. Discuss its shape (eg why does the slope increase?). three benefits of data redundancy as described in this chapter. Calculate the pH at 25 C of a 0.75 M solution of sodium hypochlorite (NaClO). Note that hypochlorous acid (HClO) is a weak acid with a pKa of 7.50. Round your answer to 1 decimal place. Find a piece of advertising (or other marketing communication), old or new, that may be considered controversial or viewed in different ways by various consumer segments. Share a link to or image of the content, then discuss:What is the content that is prompting consumers to disagree? What role does perception play? How do different groups perceive it differently? What types of influences on consumer behavior may be impacting the ways these segments view this advertisement/communication (and even their overall worldviews)?Consider the roles of involvement, culture/subculture, social class, reference groups, personality, lifestyles, motivation, values, mood, time, and surroundings. (You do not need to discuss all of these -- only the ones that are most relevant to the advertisement/communication you selected).