Eli owns an insurance office, while Olivia operates a maintenance service that provides basic custodial duties. For the month of May, the following transactions occurred. May 2 Olivia decides that she will need insurance for a one-day special event at the end of the month and pays Eli $300 in advance. May 5 Olivia provides maintenance services to Eli’s insurance offices on account, $425. May 7 Eli borrows $500 from Olivia by signing a note. May 14 Olivia purchases maintenance supplies from Spot Corporation, paying cash of $200. May 19 Eli pays $425 to Olivia for maintenance services provided on May 5. May 25 Eli pays the utility bill for the month of May, $135. May 28 Olivia receives insurance services from Eli equaling the amount paid on May 2. May 31 Eli pays $500 to Olivia for money borrowed on May 7.
Record transactions for (((Olivia’s )))Maintenance Services.
Using the format shown below, enter the impact of each transaction on the accounting equation for each company.
ELI’S INSURANCE SERVICES OLIVIA’S MAINTENANCE SERVICES
Assets = Liabilities + Stockholders' Equity Assets = Liabilities + Stockholders' Equity
May 2 $300 $300 $0 $300 $0 $0 $(300)
5
7
14
19
25
28
31

Answers

Answer 1

Olivia's Maintenance Services received $300 in advance for insurance services, provided maintenance services worth $425 on account, purchased supplies for $200 in cash, and received $425 in payment for the services provided.

The maintenance services had no impact on liabilities or stockholders' equity, except for the recognition of $300 in revenue on May 28.

May 2:

Eli's Insurance Services:

Assets: +$300 (Cash) Liabilities: +$300 (Accounts Receivable)

No impact on stockholders' equity.

Olivia's Maintenance Services:

Assets: -$300 (Cash) Liabilities: $0 Stockholders' Equity: +$300 (Revenue - Unearned)

Olivia receives $300 in advance for the insurance services to be provided at the end of the month. This transaction increases her stockholders' equity as unearned revenue.

May 5:

Eli's Insurance Services:

Assets: +$425 (Accounts Receivable) Liabilities: +$425 (Accounts Payable)

No impact on stockholders' equity.

Olivia's Maintenance Services:

Assets: +$425 (Accounts Receivable) Liabilities: +$425 (Accounts Payable)

No impact on stockholders' equity.

May 7:

Eli's Insurance Services:

Assets: +$500 (Cash) Liabilities: +$500 (Notes Payable)

No impact on stockholders' equity.

Olivia's Maintenance Services:

Assets: +$500 (Notes Receivable) Liabilities: +$500 (Cash)

No impact on stockholders' equity.

May 14:

Eli's Insurance Services:

No impact on assets, liabilities, or stockholders' equity.

Olivia's Maintenance Services:

Assets: -$200 (Cash) Liabilities: -$200 (Accounts Payable)

No impact on stockholders' equity.

May 19:

Eli's Insurance Services:

Assets: -$425 (Cash) Liabilities: -$425 (Accounts Payable)

No impact on stockholders' equity.

Olivia's Maintenance Services:

Assets: +$425 (Cash) Liabilities: -$425 (Accounts Receivable)

No impact on stockholders' equity.

May 25:

Eli's Insurance Services:

Assets: -$135 (Cash) Liabilities: -$135 (Accounts Payable)

No impact on stockholders' equity.

Olivia's Maintenance Services:

No impact on assets, liabilities, or stockholders' equity.

May 28:

Eli's Insurance Services:

Assets: -$300 (Accounts Receivable) Liabilities: -$300 (Revenue - Unearned)

Stockholders' Equity: +$300 (Service Revenue)

Eli provides insurance services to Olivia, and the unearned revenue is recognized as revenue, increasing stockholders' equity.

Olivia's Maintenance Services:

No impact on assets, liabilities, or stockholders' equity.

May 31:

Eli's Insurance Services:

Assets: -$500 (Cash) Liabilities: -$500 (Notes Payable)

No impact on stockholders' equity.

Olivia's Maintenance Services:

Assets: +$500 (Cash) Liabilities: -$500 (Notes Receivable)

No impact on stockholders' equity.

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Related Questions

Suppose Indian government borrows 50,000/- more next year than this year.

Use a supply-and-demand diagram to analyze this policy. Does the interest rate rise or fall?

Answers

In a supply-and-demand diagram, the interest rate is determined by the equilibrium point where the demand for and supply of funds intersect.

When the Indian government borrows an additional 50,000/- next year compared to this year, it increases the demand for funds.

This shift in demand curve to the right will likely lead to an increase in the equilibrium interest rate.

As the government borrows more, it competes with other borrowers for available funds, driving up the price (interest rate) at which lenders are willing to lend.

This is because lenders seek to maximize their return on investment and require a higher interest rate to compensate for the increased risk associated with lending to a higher volume of borrowers.

Therefore, in this scenario, the interest rate is expected to rise as the government's borrowing increases.

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Eaton Products seeks to select the minimum total cost vendor for a product for any order quantity. Each of the four product vendors has an associated fixed order cost along with a per unit product cost. Data are provided in the workbook accompanying this quiz. A possible formula for the total cost for vendor AAA in cell D4 would be:
=B4*B9+C4
=B4+C4*B9
=B4+C4*C9
=B4+C4*$B$9
None of these answers are correct.
Exactly two of the above answers are correct.

Answers

A possible formula for the total cost for vendor AAA in cell D4 would be:

=B4 + C4 * $B$9

This formula calculates the total cost by multiplying the per unit product cost (C4) with the fixed order cost ($B$9) and adding it to the product cost (B4). The fixed order cost represents the cost incurred for each order, regardless of the quantity ordered. The per-unit product cost represents the cost of each individual unit.

By multiplying the per unit product cost with the fixed order cost and adding it to the product cost, we obtain the total cost for vendor AAA. This formula considers both the fixed order cost and the per unit product cost in determining the total cost, which allows for a comprehensive evaluation of the minimum total cost vendor for any order quantity.

The other answer choices do not accurately reflect the calculation of the total cost, either by omitting one of the cost components or using incorrect references. Therefore, the correct formula is =B4 + C4 * $B$9.

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Question 5 Bikes Ltd. offers customers a loyalty card whereby customers receive a stamp every time they have their bike tuned up. Upon presentation of 5 stamps, customers are entitled to receive a bike light for $5. It is expected that 75% of the stamps will be redeemed. Tune-ups cost $20 and retail for $50 each; lights cost $10 and retail for $25. 1,000 lights have been purchased as prizes. In 20X9, 6,000 tune-ups were completed and 750 lights given out. Bikes uses the residual value method to allocate the transaction price to performance obligations. Required: (a) Assume Bikes Ltd. is a public company using IFRS. Calculate the following balances at Bikes year- ended December 31, 20X9: total revenue, premium expense, premium inventory, and unearned revenue. Clearly indicate whether each balance is a debit or credit. (b) Assume Bikes Ltd. is a private company using ASPE. Calculate the following balances at Bikes year-ended December 31, 20X9: total revenue, premium expense, premium inventory, and estimated liability for premiums. Clearly indicate whether each balance is a debit or credit.

Answers

(a) Calculation of balances at Bikes year-ended December 31, 20X9 using IFRS: Total revenue is the sum of revenue recognized from the sale of bikes and the tune-ups that were done during the year. Tune-ups cost $20 and retail for $50 each. 6000 tune-ups were completed during the year.Revenue recognized from tune-ups = 6000 × $30 = $180,000 Revenue recognized from the sale of bikes is not given in the question. Premium expense is the cost of the bike lights that were given to customers.

It is calculated as follows: 750 bike lights were given to customers. Bike lights cost $10 and retail for $25 each.Premium expense = 750 × $10 = $7,500 Premium inventory is the cost of bike lights that were not given to customers. It is calculated as follows: Total bike lights purchased = 1000 Cost of bike lights purchased = 1000 × $10 = $10,000 Bike lights given to customers = 750

Cost of bike lights given to customers = 750 × $10 = $7,500 Premium inventory = $10,000 - $7,500 = $2,500 Unearned revenue is the amount received from the sale of tune-up services for which services have not yet been rendered. It is calculated as follows:

Tune-up cost = $20 Revenue from each tune-up = $50 Amount received from sale of tune-up services = 6000 × $50 = $300,000 Amount of revenue recognized from tune-ups during the year = $180,000 Unearned revenue = $300,000 - $180,000 = $120,000.

The table below summarizes the balances calculated above. Balance Debit (DR)/ Credit (CR)Total Revenue$180,000 CR Premium expense$7,500 DR Premium inventory$2,500 DR Unearned revenue$120,000 CR(b) Calculation of balances at Bikes year-ended December 31, 20 X9 using ASPE: Total revenue is the sum of revenue recognized from the sale of bikes and the tune-ups that were done during the year.

Tune-ups cost $20 and retail for $50 each.6000 tune-ups were completed during the year. Revenue recognized from tune-ups = 6000 × $30 = $180,000 Revenue recognized from the sale of bikes is not given in the question.Premium expense is the cost of the bike lights that were given to customers. It is calculated as follows:750 bike lights were given to customers. Bike lights cost $10 and retail for $25 each.

Premium expense = 750 × $10 = $7,500 Premium inventory is the cost of bike lights that were not given to customers. It is calculated as follows: Total bike lights purchased = 1000 Cost of bike lights purchased = 1000 × $10 = $10,000 Bike lights given to customers = 750 Cost of bike lights given to customers = 750 × $10 = $7,500 Premium inventory = $10,000 - $7,500 = $2,500

Estimated liability for premiums is the amount that Bikes expects to pay to customers in the future for bike lights that they have earned. It is calculated as follows: Number of bike lights that Bikes expects to pay for = 75% of 750 = 562.5

Estimated liability for premiums = 562.5 × $5 = $2,812.50 The table below summarizes the balances calculated above. Balance Debit (DR)/ Credit (CR)Total Revenue$180,000 CR Premium expense$7,500 DR Premium inventory$2,500 DR Estimated liability for premiums$2,812.50 CR.

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Suppose U(x,y)= min (x+y,2x). Px=1, Py=4 and m-4. What is the optimal consumption of x in equilibrium? (A) 0 (B) 1 (C) 0.8 (D) 4

Answers

The optimal consumption of x in equilibrium is (C) 0.8.

To determine the optimal consumption of good x in equilibrium, we need to compare the marginal utilities per dollar spent on x and y. The marginal utility of x is given by the derivative of the utility function U(x, y) with respect to x. In this case, U(x, y) = min(x + y, 2x), so the marginal utility of x is 1 if x + y < 2x, and it is 2 if x + y ≥ 2x.

To find the optimal consumption, we equate the marginal utility per dollar spent on x to the price ratio Px/Py. In this case, Px = 1 and Py = 4. Since the marginal utility of x is 1, the optimal consumption of x occurs when 1/1 = 1/4, which gives us x = 0.8.

Therefore, the correct answer is option C) 0.8, which represents the optimal consumption of good x in equilibrium.

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Suppose a hospital in a small isolated town has a natural monopoly. With the idea of increasing competition, the city opens a second hospital. a. Both hospitals will have higher average total cost than the first hospital did when it operated alone. b. Both hospitals will have lower average total cost than the first hospital did when it operated alone. Both hospitals will have the same average total cost as the first hospital when it operated alone. d. The new hospital will have higher average total cost than the first hospital did when it operated alone, but the average total cost for the second hospital will be less.

Answers

d. The new hospital will have higher average total cost than the first hospital did when it operated alone, but the average total cost for the second hospital will be less.

When the city opens a second hospital in an isolated town with a natural monopoly, it introduces competition. As a result, both hospitals will experience changes in their average total costs. The new hospital, being a late entrant in the market, may face higher costs initially due to factors such as establishing infrastructure, acquiring resources, and attracting patients. On the other hand, the first hospital, which had operated as a monopoly before, may need to adjust its costs and operations to compete with the new entrant. This adjustment could lead to a reduction in its average total cost.

However, over time, the second hospital may be able to achieve economies of scale and efficiency, resulting in a lower average total cost compared to the first hospital. This is because the presence of competition can drive hospitals to become more cost-effective and improve their operations. Ultimately, the first and second hospitals are likely to have different average total costs, with the second hospital potentially achieving lower costs due to the competitive environment.

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Ulmer Company borrowed $6,000 on March 1, 2019 from the Meramec Bank. The note issued by Ulmer carried a one-year term and a 6% annual interest rate. Ulmer earned cash revenue of $800 in 2019 and $600 in 2020. Assume no other transactions. Ulmer's year end is December 31. The amount of net income on the 2020 year-end financial statements would be a. $600 O b. $360 C. $60 O d. $540

Answers

The amount of net income on the 2020 year-end financial statements would be $240. None of the given option is correct.

To determine the amount of net income on the 2020 year-end financial statements for Ulmer Company, we need to calculate the interest expense for the loan and subtract it from the cash revenue earned in 2020.

Ulmer borrowed $6,000 on March 1, 2019, with a one-year term and a 6% annual interest rate. Therefore, the interest expense for 2020 can be calculated as:

Interest expense = Principal amount x Interest rate = $6,000 x 6% = $360

Ulmer earned cash revenue of $600 in 2020. To calculate the net income, we subtract the interest expense from the cash revenue:

Net income = Cash revenue - Interest expense = $600 - $360 = $240

Based on these calculations, the correct answer is not provided in the given options. The amount of net income on the 2020 year-end financial statements for Ulmer Company would be $240.

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approximate cos0.02 to five decimal-place accuracy using the maclaurin series for cosx and check your work by comparing your answer to the function value produced directly by your calculating utility.

Answers

Approximating cos(0.02) using the Maclaurin series for cos(x) and rounding to five decimal places, we get an approximate value of 0.99980. Comparing this with the actual function value produced by a calculating utility, we can verify the accuracy of our approximation.

The Maclaurin series expansion for cos(x) is given by:

cos(x) = 1 - (x^2/2!) + (x^4/4!) - (x^6/6!) + ...

To approximate cos(0.02), we substitute x = 0.02 into the series expansion. Truncating the series after the desired accuracy, we calculate the value of the approximation.

Using the first few terms of the series expansion:

cos(0.02) ≈ 1 - (0.02^2/2!) ≈ 1 - (0.0002/2) ≈ 1 - 0.0001 ≈ 0.9999

Rounding this value to five decimal places, we get approximately 0.99980.

To verify our approximation, we can compare it to the function value produced directly by a calculating utility. By evaluating cos(0.02) using a reliable calculator or computer software, we can compare the actual value to our approximation and check for accuracy.

Note: The actual function value produced by a calculating utility may vary slightly depending on the software or calculator used, but it should be very close to our approximation of 0.99980.

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Your international business development team is exploring ways to bundle two or more of your service offerings. Make up a company and discuss how you would go about bundling and provide rationales for your choice.

Answers

In order to bundle two or more service offerings, the international business development team will strategize by identifying complementary services, creating attractive pricing packages, and marketing the bundled offerings effectively.

When bundling services, it is important to consider the synergy between the offerings and how they can enhance customer value. The team will analyze the company's service portfolio and identify services that are complementary to each other. For example, if the fictional company is in the IT industry, they may consider bundling software development and cloud hosting services.

Once the services are identified, the team will develop pricing packages that offer cost savings or added benefits to customers. This can include discounted pricing compared to purchasing the services individually or offering additional features or support as part of the bundle. The pricing strategy should aim to provide a compelling value proposition to customers.

To effectively market the bundled offerings, the team will focus on highlighting the convenience and value customers can gain from the bundle. They will create targeted marketing campaigns that emphasize the benefits of the bundled services and showcase real-world examples of how the bundled offerings have solved customer challenges or improved efficiency.

By carefully selecting complementary services, creating attractive pricing packages, and implementing effective marketing strategies, the fictional company can successfully bundle their service offerings and provide customers with comprehensive and valuable solutions.

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Lance runs a bicycle repair shop. His assistant demanded and received a wage raise. In response, Lance's supply of repair services decreases because

Answers

Lance's supply of repair services decreases in response to his assistant receiving a wage raise because the increase in labor costs affects the profitability of his bicycle repair shop.

When wages go up, it raises the overall cost of running the business. As a result, Lance may find it less financially viable to offer the same quantity of repair services as before.

With higher labor costs, Lance may have to make adjustments to maintain profitability. He could respond by reducing the number of hours his assistant works, hiring fewer additional staff, or even cutting back on the range of services provided. These actions are taken to align the costs of labor with the revenue generated from repair services.

Additionally, Lance may need to adjust the prices he charges for repair services. If he decides to maintain the same level of profitability, he might increase his prices to cover the increased labor costs. However, higher prices could lead to a decrease in demand from customers, further impacting the supply of repair services.

Ultimately, the decrease in Lance's supply of repair services is a result of the wage raise impacting the cost structure of his business. The adjustments made are aimed at ensuring financial sustainability and maintaining a balance between costs and revenue.

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Deepika is a UX engineer at META. Deepika is quite concerned about being late on her assigned tasks and causing a larger project delay (and getting fired). She reaches out to her project manager and asks if there is an opportunity to delay the due date of Deepika's assigned tasks. The project manager advises that she has an extra 18 days to complete the task before the project is impacted negatively. This is an example of a project manager evaluating the ___________ within a project.

Answers

This is an example of a project manager evaluating the critical path within a project.

The project manager evaluates the critical path within a project in the given scenario.

Deepika is a UX engineer at META, and she is concerned about being late on her assigned tasks and causing a more significant project delay and getting fired.

She contacts her project manager and asks if there is a chance to delay the due date of her assigned tasks.

The project manager informs her that she has 18 additional days to complete the task before the project is adversely impacted. It's an example of a project manager evaluating the critical path within a project.

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Calculate the organization's total cost for the following scenario:


The organization has signed a cost-plus-incentive-fee contract.
The sharing formula is 90/10 (90 percent by buyer).
The seller estimate of allowable expenses is $150,000.
The target fee is set at $10,000.
The maximum fee is $19,750.
The minimum fee is $5,000.

1) Calculate the result if the project is completed by the seller at a cost of $146,000. Fill in the following blanks - just type the numbers with no decimal values without labels, dollar signs, commas, etc.

Seller paid = [Blank#1]
Seller profit = [Blank#2]
2) Calculate the result if the project is completed by the seller at a cost of $190,000. Fill in the following blanks - just type the numbers with no decimal values without labels, dollar signs, commas, etc.

Seller paid = [Blank#3]
Seller profit = [Blank#4]
BLANK 1:

BLANK 2:

BLANK 3:

BLANK 4:

Answers

For a project cost of $146,000, the organization would pay the seller $146,400 and the seller's profit would be $400.

To calculate the organization's total cost for the given scenario, we need to consider the cost-plus-incentive-fee contract and the provided information.

If the project is completed by the seller at a cost of $146,000:

According to the cost-plus-incentive-fee contract, the sharing formula is 90/10, which means the buyer pays 90% and the seller receives 10% of the allowable expenses as the fee.

The seller's estimate of allowable expenses is $150,000, and the target fee is $10,000. The minimum fee is $5,000, and the maximum fee is $19,750.

To calculate the result:

Seller paid = Cost + (Sharing Ratio * (Allowable Expenses - Cost))

Seller paid = $146,000 + (0.1 * ($150,000 - $146,000))

Seller paid = $146,000 + (0.1 * $4,000)

Seller paid = $146,000 + $400

Seller paid = $146,400

Seller profit = Seller paid - Cost

Seller profit = $146,400 - $146,000

Seller profit = $400

BLANK 1: 146,400

BLANK 2: 400

If the project is completed by the seller at a cost of $190,000:

Using the same formula as above:

Seller paid = Cost + (Sharing Ratio * (Allowable Expenses - Cost))

Seller paid = $190,000 + (0.1 * ($150,000 - $190,000))

Seller paid = $190,000 + (0.1 * -$40,000)

Seller paid = $190,000 - $4,000

Seller paid = $186,000

Seller profit = Seller paid - Cost

Seller profit = $186,000 - $190,000

Seller profit = -$4,000

BLANK 3: 186,000

BLANK 4: -4,000.

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transaction-based manipulation includes: group of answer choices spoofing cascading both of the above none of the above

Answers

Transaction-based manipulation includes both spoofing and cascading.Option (3)

Spoofing refers to the practice of placing large orders with the intention to cancel them before they are executed, creating a false impression of supply or demand in the market. This tactic aims to manipulate the market price or create misleading signals to other market participants.

Cascading, also known as layering, involves placing a series of orders at different price levels to create the illusion of market activity and influence the market price. Traders engaging in cascading repeatedly modify their orders, taking advantage of price movements caused by their own actions.

Therefore, transaction-based manipulation encompasses both spoofing and cascading techniques. These practices aim to deceive market participants and can have a disruptive effect on market efficiency and fairness.

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Full Question: transaction-based manipulation includes: group of answer choices

spoofing cascading both of the above none of the above

Please help with requirement 2
and 3
Forber Bakery makes baked goods for grocery stores, and has three divisions: bread, cake, and doughnuts. Each division is run and evaluated separately, but the main headquarters incurs costs that are

Answers

We can see here that: -Bread division operating income = $4,700,000

-Cake division operating income = -$400,000

-Doughnuts division operating income = $4,450,000.

What is operating income?

Operating income, also known as operating profit or operating earnings, is a measure of a company's profitability from its core operations before considering interest income or expenses, taxes, and non-operating items.

Here are the steps on how to allocate the indirect costs of Forber to each division equally:

The total indirect costs to be allocated:

Total indirect costs = $1,900,000 + $1,400,000 + $1,200,000 + $600,000 = $5,100,000

The total indirect costs by the number of divisions:

Number of divisions = 3

Per-division indirect cost allocation = $5,100,000 / 3 = $1,700,000

The indirect costs to each division:

Bread division indirect cost allocation = $1,700,000

Cake division indirect cost allocation = $1,700,000

Doughnuts division indirect cost allocation = $1,700,000

The division operating incomes after allocation of headquarter costs:

Bread division operating income = $6,400,000 - $1,700,000 = $4,700,000

Cake division operating income = $1,300,000 - $1,700,000 = -$400,000

Doughnuts division operating income = $6,150,000 - $1,700,000 = $4,450,000

As you can see, the bread and doughnuts divisions are profitable after allocation of headquarter costs, while the cake division is not. This is because the cake division has a lower number of employees and a smaller amount of square footage than the other two divisions.

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The complete question is:

Forber Bakery makes baked goods for grocery stores and has three divisions: bread, cake, and doughnuts. Each division is run and evaluated separately, but the main headquarters incurs costs that are indirect costs for the divisions. Costs incurred in the main headquarters are as follows:

Human resources (HR) costs $1,900,000

Accounting department costs 1,400,000

Rent and depreciation 1,200,000

Other 600,000

Total costs $5,100,000                                                                                                                                                                                                                                                     The Forber upper management currently allocates this cost to the divisions equally. One of the division managers has done some research on activity-based costing and proposes the use of different allocation bases for the different indirect costs—number of employees for HR costs, total revenues for accounting department costs, square feet of space for rent and depreciation costs, and equal allocation among the divisions of “other” costs. Information about the three divisions follows:

                                   Bread                Cake         Doughnuts

Total revenues       $20,900,000      $4,500,000       $13,400,000  

Direct costs            14,500,000           3,200,000         7,250,000

Segment margin      $6,400,000          $1,300,000     $6,150,000

# of employees:                 400                     100               300

Sq.feet of space:                10,000                  4,000           6,000      

                                                                                                                                     Allocate the indirect costs of Forber to each division equally. Calculate division operating income after allocation of headquarter costs.

apter 2 Aurework- Connect Homework i Saved For each of the following statements, indicate whether it is true, false, or uncertain. a. A cost is something used up to produce revenues in a particular ac

Answers

a.)The given statement "a. A cost is something used up to produce revenues in a particular accounting period." is true because  A cost is an expense incurred by a business to generate revenues.

b.) The given statement is " Variable costs are direct costs; only fixed costs are indirect costs." is false because  Variable costs and fixed costs are both types of costs, and they can be either direct or indirect.

c.) The given statement is "The cost of direct materials is fixed per unit but variable in total." is true because it changes in proportion to the level of production or the number of units produced

a. The statement is true. A cost is an expense incurred by a business to generate revenues. It represents resources or services consumed in the process of producing goods or providing services. Costs can be directly associated with a specific accounting period, such as the cost of raw materials used in production or the wages paid to employees for their work during that period.

b. The statement is false. Variable costs and fixed costs are both types of costs, and they can be either direct or indirect. Direct costs are those that can be easily traced to a specific product or service, while indirect costs are not directly associated with a particular product or service.

Both variable costs and fixed costs can be direct or indirect, depending on their relationship to the specific product or service being analyzed.

c. The statement is true. The cost of direct materials is generally considered a variable cost in total because it changes in proportion to the level of production or the number of units produced. As more units are produced, more direct materials are required, resulting in an increase in the total cost of direct materials.

However, the cost of direct materials per unit may remain fixed or relatively stable, assuming there are no significant changes in the cost of materials.

For example, if it takes one pound of material to produce one unit of a product and the cost of that pound of material remains constant, the cost of direct materials per unit will be fixed. However, as the number of units produced increases, the total cost of direct materials will vary.

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Note the complete question is

For each of the following statements, indicate whether it is true, false, or uncertain.

a. A cost is something used up to produce revenues in a particular accounting period.

b. Variable costs are direct costs; only fixed costs are indirect costs.

c.The cost of direct materials is fixed per unit but variable in total.

Which index or fund is equal-weighted?

A.QQQ
B.All of these indexes are equal-weighted
C.SPX
D.SPW
E.DJI

Answers

The fund or index that is equal-weighted among the given options is D. SPW. What is the SPW index? The S&P 500 Equal Weight Index, abbreviated as SPW, is a variation of the S&P 500 that weights each company equally.

This strategy differs from the S&P 500, which is a market-cap-weighted index that assigns more weight to larger firms. Because each company has an equivalent weight in the index, the equal-weight index is less likely to be influenced by the stock price movements of large corporations. What are the advantages of SPW index? Because SPW equally weights each company in the index, it may deliver a diverse portfolio that is more sensitive to the smaller firms in the index, rather than merely the largest.

The equal-weight approach can provide higher exposure to mid-cap and small-cap equities in the index, which can have greater growth potential over time. In addition, the equal-weight index avoids the focus on mega-cap firms seen in the market-cap-weighted S&P 500 and may provide a more balanced risk profile in the portfolio. Thus, SPW allows investors to track the performance of the broad US market with a portfolio that is weighted equally across the entire index.

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all activities involved in obtaining and managing raw materials and component parts, managing finished products, packaging them, and getting them to customers are part of

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All activities involved in obtaining and managing raw materials and component parts, managing finished products, packaging them, and getting them to customers are part of supply chain management.

Companies may reduce expenses, increase productivity, and expedite the delivery of goods to clients with the help of effective supply chain management. It entails organizing the numerous tasks required to manufacture and deliver goods and services to clients of a firm.

Many firms consider supply chain management to be a crucial component, and good supply chain management needs careful managing, coordination, and execution.

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Pick a technological, device, tool, or initiative and discuss how it makes the job of a Sports Communication Director/VP of Marketing easier and more streamlined.

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One of the technological tools that has transformed the world of Sports Communication Director/VP of Marketing and made their jobs easier and more streamlined is social media platforms.

Social media platforms, such as F4c3b00k, Tw1tt3rr, Inst4gr4mm, and L1nk3d1n, have revolutionized the way sports organizations interact with fans, share information, and promote their brands.These tools have made it possible for sports organizations to disseminate information quickly and efficiently, as well as interact with their audience in real-time.

Furthermore, social media has also made it easier for Sports Communication Director/VP of Marketing to track and analyze engagement metrics, enabling them to understand their audience better and adjust their strategies accordingly. They can measure the success of their social media campaigns, and adjust and optimize them for maximum impact.

In conclusion, social media has changed the way Sports Communication Director/VP of Marketing interacts with fans, promotes their brands, and analyzes the success of their marketing efforts. It has made it possible for them to streamline their jobs, reach new audiences, and develop more personalized and effective marketing strategies.

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Bonita Industries produces a product that requires 2.60 pounds of materials per unit. The allowance for waste and spoilage per unit is 0.30 pounds and 0.10 pounds, respectively. The purchase price is $2 per pound, but a 2% discount is usually taken. Freight costs are 50.10 per pound, and receiving and handling costs are $0.07 per pound. The hourly wage rate is $8 per hour, but a raise which will average $0,40 will go into effect soon. Payroll taxes are $0.80 per hour, and employee benefits average $1.60 per hour. Standard production time is 1 hour per unit, and the allowance for rest periods and setup is 0.20 hours and 0.10 hours, respectively. The standard direct labor rate per hour is:____________

Answers

The allowance for waste and spoilage per unit is 0.30 pounds and 0.10 pounds, respectively. The standard production time purchase price is $2 per pound, but a 2% discount is usually taken. As we know that the Standard direct labor rate per hour can be calculated.

Using the formula given below standard direct labor rate per hour

= (Hourly wage rate + Payroll taxes + employee benefits + average raise) / Total number of hours Therefore,Substituting the given values into the above equation, we have;Standard direct labor rate per hour

= ($8 + $0.80 + $1.60 + $0.40) / (1 + 0.20 + 0.10)

= $11 / 1.30

= $8.46 (rounded off to two Payroll taxes are $0.80 per hour, and employee benefits average $1.60 per hour. Standard production time is 1 hour per unit, decimal places)Therefore, the standard direct labor rate per hour is $8.46 (rounded off to two decimal places).

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Your pro forma income statement shows sales of $983,000, cost of goods sold as $513,000, depreciation expense of $104,000, and taxes of $146,400 due to a tax rate of 40%. What are your pro forma earnings? What is your pro forma free cash flow?

Answers

Pro forma earnings: $219,600

Pro forma free cash flow: -$30,800.

What are the pro forma earnings and free cash flow?

Pro forma earnings can be calculated by subtracting the cost of goods sold and depreciation expense from the sales and subtracting the taxes from the result. Pro forma free cash flow can be calculated by subtracting the taxes and depreciation expense from the earnings.

The Pro forma earnings is equals to:

= Sales - Cost of goods sold - Depreciation expense - Taxes

= $983,000 - $513,000 - $104,000 - $146,400

= $219,600

The Pro forma free cash flow is equals to:

= Earnings - Taxes - Depreciation expense

= $219,600 - $146,400 - $104,000

= -$30,800.

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Solve the problem. Round dollars to the nearest cent and rates to the nearest tenth of a percent. The amount of markup on a store item is $10. Find the cost to the store if the markup is 20%. A. $8.33 B. $50.00 C. $12.00 D. $2.00 Solve the problem. Round dollars to the nearest cent and rates to the nearest tenth of a percent. Find the selling price of an item which cost a store $124. The store has a 30% markup. A. $161.20 B. $413.34 C. $95.39 D. $37.20

Answers

The given problem statement can be solved by using the formula given below: Marked price = Cost price + Markup Markup % = (Markup / Cost price) × 100We need to find the cost to the store if the markup is 20% and the markup amount is $10.

Therefore,Cost price (C.P) = Marked price (M.P) - Markup (M)$10 = (M.P) × 20 / 100M.P = $10 × 100 / 20 = $50Therefore, the marked price is $50. Now we can find the cost price by using the formula mentioned above. Cost price = Marked price - Markup = $50 - $10 = $40Therefore, the cost to the store is $40.Hence, option B is the correct answer. Using the formula given below, we can find the selling price of an item: Selling price = Cost price + Markup Markup % = (Markup / Cost price) × 100We need to find the selling price of an item which cost a store $124.

The store has a 30% markup. Therefore, Markup = Cost price × Markup % / 100Markup = $124 × 30 / 100 = $37.2Now, we can calculate the selling price: Selling price = Cost price + Markup = $124 + $37.2 = $161.20Hence, option A is the correct answer.

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Question 1 McDonald's, a big burger joint, is charging $6 for its very famous Big Mac hamburger and selling around 20 million Big Mac in a year in Australia. a. Suppose McDonald's increases the price of its Big Mac to $6.50. Consequently, quantity sold of the Big Mac falls to 17 million. How much revenue will McDonald's gain? What can you infer about the price elasticity of demand (PED) for McDonald's Big Mac? Assume in an alternative scenario, the increase in the price of Big Mac to $ 6.5 reduces its quantity sold to 19 million. How much revenue will McDonald's gain now? What can you conclude about the PED now? (4 Marks)

Answers

MCDonald's Revenue Before Price Increase Revenue = Price x Quantity Revenue Before Price Increase = $6 x 20 million Revenue Before Price Increase = $120 million McDonald's Revenue After Price Increase Revenue = Price x Quantity Revenue After Price Increase = $6.50 x 17 million Revenue.

After Price Increase = $110.5 million Gain in Revenue = Revenue After Price Increase – Revenue Before Price Increase Gain in Revenue = $110.5 million – $120 million Gain in Revenue = – $9.5 million Gain in Revenue is negative, which means there is an Inelastic demand for Big Mac. Even if the prices of Big Mac increased by 8.3%, McDonald's will lose $9.5 million in revenue. McDonald's Revenue After Price Increase Revenue = Price x Quantity Revenue After Price Increase = $6.50 x 19 million.

Revenue After Price Increase = $123.5 million Gain in Revenue = Revenue After Price Increase – Revenue Before Price Increase Gain in Revenue = $123.5 million – $120 million Gain in Revenue = $3.5 million Gain in Revenue is positive, which means there is an Elastic demand for Big Mac. If the prices of Big Mac increased by 8.3%, McDonald's will gain $3.5 million in revenue. The increase in price will make the customers look for alternatives, so McDonald's will have to work on other alternatives to satisfy its customers. This was a long answer that has more than 100 words, with explanations of all the calculations and inferences.

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EXPLAIN ALL YOU KNOW ABOUT PRIVATE EQUITY (VENTURE CAPITAL AND
ANGEL INVESTMENTS).

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Private equity refers to investments made in privately held companies that are not publicly traded on stock exchanges. It involves providing capital to companies in exchange for ownership stakes or equity in those companies. Private equity investors typically seek higher returns compared to traditional investment options like stocks or bonds. Venture capital and angel investments are two important subsets of private equity, focusing on specific stages of company development.

Venture capital (VC) is a type of private equity that specifically targets early-stage companies with high growth potential. Venture capital firms invest in startups and small businesses that have innovative ideas, disruptive technologies, or scalable business models. VC investors provide not only financial support but also mentorship, guidance, and industry connections to help the companies succeed. In return for their investment, venture capitalists receive equity in the company and often become actively involved in strategic decision-making.

Angel investments, on the other hand, refer to investments made by individual high net worth individuals, known as angel investors, into early-stage companies. Angel investors are typically successful entrepreneurs or industry professionals who provide not only capital but also their expertise and networks to support the growth of startups. Angel investments are usually made in the form of equity financing, where the angel investor receives an ownership stake in the company.

Both venture capital and angel investments play crucial roles in fostering innovation, driving economic growth, and supporting entrepreneurial ecosystems. They provide funding to startups and small businesses that may not have access to traditional sources of capital, such as bank loans or public markets. Moreover, venture capitalists and angel investors often contribute industry-specific knowledge, experience, and mentorship, helping entrepreneurs navigate challenges and accelerate their growth.

While venture capital and angel investments share similarities, there are some differences between the two. Venture capital firms typically manage pooled funds from institutional investors, such as pension funds, endowments, or corporations. They invest larger amounts of capital and focus on more mature startups or companies that have already demonstrated some market traction. Angel investors, on the other hand, invest their own personal wealth and have more flexibility in terms of investment criteria and decision-making. They are often more willing to take early-stage and higher-risk bets on promising but unproven ventures.

In summary, private equity encompasses various forms of investments in privately held companies. Venture capital and angel investments are two important components of the private equity landscape, targeting early-stage and high-growth companies. These investment vehicles provide not only financial capital but also expertise, mentorship, and industry connections to support the growth and success of innovative startups and small businesses.

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Conway Company purchased merchandise inventory with an invoice price of $12,000 and credit terms of 2/10, n/30. What is the net cost of the goods if Conway Company pays within the discount period?
Select one:
a. $12,000
b. $11,760
c. $10,800
d. $11,040

Answers

The net cost of the goods for Conway Company, if they pay within the discount period, is $11,760. Option b is correct.

The credit terms of 2/10, n/30 indicate that a 2% cash discount is available if payment is made within 10 days. The net amount due would be calculated by subtracting the cash discount from the invoice price. In this case, the cash discount would be 2% of $12,000, which is $240. Therefore, the net cost of the goods would be $12,000 - $240 = $11,760. This is the amount Conway Company would pay if they take advantage of the discount and pay within the specified period. Option b is correct.

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mr. lopez deposits $k in an account paying 4 nnual effective dis- count. the balance at the end of three years is $982. find k.

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The amount deposited by Mr. Lopez is $873.

Given that, Mr. Lopez deposits $k in an account paying 4% annual effective discount. The balance at the end of three years is $982. We have to find k.

Solution: Since we are given effective discount rate, we can apply the formula of present value for single payment.

PV = FV / (1 + r)n

Here, PV is present value, FV is future value r is discount rate n is number of years

Putting the given values, we get, k = 982 / (1 + 0.04)3  

[Using the formula for present value]k = 982 / 1.125k = 872.88 ≈ $873

Therefore, the amount deposited by Mr. Lopez is $873.

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PLEASEEE ANSWER all
Solve various time value of money scenarios. (Click the icon to view the scenarios.) (Click the icon to view the present value of $1 table.) (Click the icon to view the future value of $1 table.) (Cli

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Daniel's $70,000 jackpot will be worth $675,240.52 in 20 years.

How much will Daniel's $70,000 jackpot be worth in 20 years?

Future value refers to value of a current asset at a future date based on an assumed rate of growth.  To get future value of an investment compounded annually, we can use the formula: [tex]Future Value = Present Value × (1 + Interest Rate)^{Time}[/tex]

Given:

Present Value (P) = $70,000

Interest Rate (r) = 12% = 0.12

Time (t) = 20 years

Plugging values:

Future Value = $70,000 × (1 + 0.12)^20

Future Value = $70,000 × 1.12^20

Future Value = $675 240.517

Future Value = $675,240.52.

Full question:

Solve various time value of money scenarios. (Click the icon to view the scenarios.) (Click the icon to view the present value of $1 table.) (Click the icon to view the future value of $1 table.) (Click)

Scenario 1. Daniel just hit the jackpot in Las Vegas and won $70,000! If he invests it now at a 12% interest rate, how much will it be worth in 20 years?

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Name a Time You
Improved a Process at Walmart as a freight handler. What
Happened?

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Time You Improved a Process at Walmart as a freight handler. What As an AI language model, I do not have personal benchmark experiences. The role of a freight handler at Walmart is to unload merchandise from delivery trucks and transport it to the sales floor or the warehouse.

To improve the process of freight handling, one can suggest various measures, including the following:1. Efficient Staffing - To manage the flow of incoming merchandise, it's important to have the appropriate number of workers on staff at all times. The manager should schedule enough workers for the expected shipment.

Volume to ensure that the merchandise gets unloaded and organized on the sales floor efficiently.2. Safety Measures - As Walmart strives for a safe and healthy working environment, it's important to follow established safety protocols. All freight handlers should be provided with safety gear and equipment to minimize the risk of injuries.3. Equipment Maintenance - To ensure the smooth operation of the unloading process, it's important to maintain the equipment that freight handlers use regularly. Regular equipment maintenance will help prevent equipment malfunctions and breakdowns that could cause delays or accidents.

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Consider the following particulars about an alternative

Initial cost = $420000
Equivalent annual benefit = $116520
Life (years) = 5

(i) Draw a cash flow diagram for the alternative.
(ii) Find the Internal Rate of Return of the alternative.
(iii) If the MARR(Minimum Attractive Rate of Return) is 14%, should the alternative be accepted? Why?

Answers

This is because it provides a return greater than the minimum required return of 14%.Given the particulars about an alternative, the steps to find the Internal Rate of Return of the alternative are as follows:Step 1: Find the PV of cash inflows and cash outflows.

Calculate the IRR by interpolation.IRR is the rate that equates the PV of cash inflows with the PV of cash outflows. When the IRR is used as a discount rate, the NPV is zero.Using the formula for NPV, we get:NPV = 0 = CF0 + CF1 / (1 + IRR) + CF2 / (1 + IRR)² + CF3 / (1 + IRR)³ + CF4 / (1 + IRR)⁴Putting in the given values, we get:0 = -300000 + 200000 / (1 + IRR) + 160000 / (1 + IRR)² + 100000 / (1 + IRR)³ + 70000 / (1 + IRR)⁴

With the help of trial and error, we get an IRR of 26.37%. (note: You can use Excel or a financial calculator to solve for the IRR).Check if the alternative should be accepted.If the IRR is greater than the MARR, the alternative should be accepted, and if it is less than the MARR, it should be rejected.IRR > MARR

Hence, the alternative should be accepted since the IRR (26.37%) is greater than the MARR (14%).

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The Fed can completely counteract an Aggregate Demand shock, but, in the face of an aggregate supply shock, the Fed can either prevent a recession or prevent a permanent price increase but not both.

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The statement "The Fed can completely counteract an Aggregate Demand shock, but, in the face of an aggregate supply shock, the Fed can either prevent a recession or prevent a permanent price increase but not both" is false because the Federal Reserve has tools to address both types of shocks and mitigate their impact on the economy.

In the case of an Aggregate Demand shock, where there is a decrease in consumer spending and investment, the Fed can employ expansionary monetary policy. This involves reducing interest rates and increasing the money supply, which stimulates borrowing and spending, thereby boosting aggregate demand and helping to prevent or mitigate a recession.

Similarly, in the case of an aggregate supply shock, such as a sudden increase in oil prices or a natural disaster affecting production, the Fed can respond by implementing contractionary monetary policy. By increasing interest rates, the Fed can reduce spending and manage inflationary pressures resulting from the supply shock, the statement is false.

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The complete question is:

The Fed can completely counteract an Aggregate Demand shock, but, in the face of an aggregate supply shock, the Fed can either prevent a recession or prevent a permanent price increase but not both.

True or False

Calculate the Variances :
Standard Actual
Material Cost Per Yard $2.00 $2.10
Standard Yards per Unit 4.5 yards 4.75 yards
Units of Production 9,500
1. Calculate the Total Direct Materials cost variance using the above information:
a. $9,262.50 Unfavorable
b. $9,262.50 Favorable
c. $3,780.00 Unfavorable
d. $3,562.50 Favorable

Answers

The Variances Standard Actual Material Cost Per Yard $2.00 $2.10 is measured as $ 9262.50 unfavorable. Option A is correct.

Actual direct materials cost  = 4.75 × 9500 ×2.1  

                                                 = 94762.5

Less: Budgeted direct materials cost =4.5 × 9500 ×2

                                                        =   85500

Total direct materials cost variance =  $ 9262.50   (unfavorable)

By comparing actual results to expected results over time, variance analysis enables businesses to identify performance trends. This assists organizations with recognizing any regions where they are performing great or regions where they need to get to the next level.

Change is a factual estimation used to decide how far each number is from the mean and from each and every other number in the set. You can ascertain the fluctuation by taking the contrast between each point and the mean.

A statistical measure of the spread between numbers in a data set is referred to as variance. More specifically, variance measures how far apart each number in the set is from the mean (average) and, as a result, from each other.

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Help Sove 1 A company is planning to purchase a machine that will cost $53,172, have a six-year Iife, and will have no salvage value. The company expects to sell the machine's output of 3,000 units ev

Answers

The machine with no salvage value has a three-year payback period.

The time needed to recoup the initial investment in a project is known as the payback period. The initial investment in this instance is the $53,172 price of the machine.

We must figure out the cumulative net cash inflows the machine generates annually until the total cash inflows equal or exceed the initial investment in order to calculate the payback time.

The machine will produce 3,000 units annually, according to the predicted income statement, distributed evenly throughout the course of the year. Assume that each unit produces an inflow of net cash of $X. We divide the $53,172 original investment by the annual net cash inflow per unit to determine the investment's return.

$53,172 / ($X per unit * 3,000 units per year) = 3 years

Consequently, the machine's payback period is 3 years. This indicates that it will take the business three years to return its initial $53,172 investment from the cash inflows produced by the machine.

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Complete Question:  

A company is planning to purchase a machine that will cost $53,172 with a six-year life and will have no salvage value. The company expects to sell the machine's output of 3,000 units evenly throughout each year. A projected income statement for each year of the asset's life appears below. What is the payback period for this machine?

Other Questions
Fill in the blanks in the following table, where Q is units of output, FC is fixed cost, VC is variable cost, TC is total cost, MC is marginal cost, AFC is average fixed cost, AVC is average variable y=A + C/x is the general solution of the exact DEQ: y dx + x dy 40dx. Determine A. 1. what are taxonomic categories and how do consumers use them to structure knowledge in memory2. what is a schema? identify strategies that marketers can use in order to increase :- favorability- uniqueness- salience Sato Awards has had a request for a special order of 10 silver-plated trophies from the provincial tennis association. The normal selling price of such a trophy is $249.95 and its unit product cost is $164.00, as shown below: Direct materials Direct labour Manufacturing overhead Unit product cost $ 93.00 56.00 15.00 $164.00 Most of the manufacturing overhead is fixed and unaffected by variations in how many trophies are produced in any given period. However, $7 of the overhead is variable, depending on the number of trophies produced. The customer would like a special logo applied to the trophies requiring additional materials costing $6 per trophy and would also require acquisition of a special tool costing $195 that would have no other use once the special order was completed. This order would have no effect on the company's regular sales, and the order could be filled using the company's existing capacity without affecting any other order. Required: a. What effect would accepting this order have on the company's operating income if a special price of $199.95 is offered per trophy for this order? (Do not round intermediate calculations. Round your answer to 2 decimal places.) Net operating income increased by Answer the questions following the fact patterns using the IRAC format: 1) James and Conrad enter into a valid contract that reads, "Conrad will pick-up and deliver to James a car. Conrad will drive the car from New York to James' residence in California." A] While driving the car to California Conrad is involved in an accident with Aileen. Aileen sues Conrad and wins. Conrad pays Aileen. What is Conrad's best argument to recover from James? GMAT Success From "Cost Accounting". Horngren, Foster & Datar Adapted by C. Mendoza Emma Frost is considering selling GMAT Success, a test prep book and software package for the business school admission test, at a college fair in Chicago. Emma knows she can purchase this package from a wholesaler at $120 per package, with the privilege of returning all unsold packages and receiving a full $120 refund per package. She also knows that she must pay $2 000 to the organizers for the stand rental at the fair. She will incur no other costs. She must decide whether she should rent the stand. Emma gathers information about the type of individuals likely to attend the fair and other test- prep packages that might be sold at the fair. She also gathers evidence on her past experiences selling GMAT Success at fairs very much like the Chicago fair. Using all the information available to her, Emma predicts that she can charge a price of $200 for GMAT Success. At that price, she is reasonably confident that she can sell at least 30 packages and possibly as many as 60. Question n 1: What will be the operating profit if sales are 20 packages? 40 packages? Question n 2: What will be the breakeven point in units? What will be breakeven revenues? What will be the safety margin if expected sales are 40 packages? Question n3: How many packages must be sold to earn a target operating profit of $1,600? Emma is contemplating whether to reduce the selling price to $175. At this price, she thinks she will sell 50 units (instead of 40). At this quantity, the test-prep package wholesaler who supplies GMAT Success will sell the packages to Emma for $115 per unit instead of $120. Question n4: Should Emma reduce the selling price? 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Preliminary data analyses indicate that you can reasonably consider the assumptions for using pooled i procedures satisfied. Independent random samples of released prisoners in the fraud and firearms offense categories yielded the following information on time served in months. Obtain a 90% confidence interval for the difference between the mean times served by prisoners in the fraud and firearms offense categories(Note X_1=8.94. s-1= 3.87 x_2 = 17.62 and s_2 = 4.12)The 90% contidence interval is from ____ to ______ (Round to three decimal places as needed) The Cupcakery is a chain of bakeries in the mid-Atlantic region of the US dust operates wing on a calendar year hos Assane the net profit (low) for the Cupcakery in 2020 before incorporating my deprecation deduction is $34.000 of a profit to addon the only tangible personal property the company still owns in 2020 is a large amount of expponent that had purchased on May 5, 2013 for $390,000, which has been used each year to make is cupcakes. In the your in which it acquired the epopeant, de Capcalary opted not to ale any Sec. 179 on the equipment and no other tangible personal was purchased throughout 2018 However, the company dad apply hom depreciation to the expugnent in 2018. 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O $13,200 O $123,200 $8,800 O $118,800 According to Barak Obama, ""middle-class squeeze"" is largely due to ethical problems with: O corporate culture O the white community O the black community O racism, sexism, and power Anzio, Inc., has two classes of shares. Class B has 15 times the voting rights as Class A. If you own 14% of the Class A shares and 26% of the Class B shares, what percentage of the total voting rights do you hold? C The percentage of the total voting rights that you hold is%. (Round to one decimal place.) Question 1: Geometry (10 marks) C. logo 6 a. Which of the following is the definition of a one-to-one function? A. A function with no asymptotes. B. A function that is symmetrical about the 3-axis. C. A function where each output is positive. D. A function where each element of the domain gives a unique output. (1 mark) b. Which of the following is not true? A. loga b xloga c = loga (b + c) B. loga b = cloga b loga b D. loga a = b (1 mark) c. Which of the following planes is parallel to the plane given by 31-7y + 92 = 22? A. 2x - 4y + 72 = 85 B. 3x + 7y + 92 = -6 C. -3x + 7y - 92 = 0 D. x + y + z = 22 (1 mark) d. Given the vectors a=(-4,3,1) and b = (0, 4, 10), i. Calculate the cross product between vectors a and b. ii . Show that the vector found in part (i) is perpendicular to the vector a. (3 marks) e. Find parametric equations for the line of intersection between the two planes described below: X -- 3 + 2 = 7 - 2x - 29 + 5z = 10 (4 marks) How can stable isotope analysis help decipher food webs? Four particles are located at points (1,1), (2,4), (3,1), (4,1). Find the moments Mx and My and the center of mass of the system, assuming that the particles have equal mass m. Mx= My= x= y= Find the center of mass of the system, assuming the particles have mass 3, 2, 5, and 7, respectively. x= y= What is the value today of a money machine that will pay$4,431.00 every six months for 15.00 years? Assume the firstpayment is made 5.00 years from today and the interest rate is5.00%? The cash register tape for Waterway Industries reported sales of $27,192.00. Record the journal entry that would be necessary for each of the following situations. (a) Sales per cash register tape exceeds cash on hand by $54.50. (b) Cash on hand exceeds cash reported by cash register tape by $33.00. (List all debit entries before credit entries. Credit account titles are automatically indented when amount is entered. Do not indent manually. Round answers to 2 decimal places, e.g. 52.75.) number 2424) You have just deposited $14,500 into an account that promises to pay you an annual interest rate of 7.2 percent each year for the next 8 years. You will leave the money invested in the account and