At a single-phase, multiple-channel service facility, customers arrive randomly. Statistical analysis of past data shows that the interarrival time has a mean of 20 minutes and a standard deviation of 4 minutes. The service time per customer has a mean of 15 minutes and a standard deviation of 5 minutes. The waiting cost is $200 per customer per hour. The server cost is $25 per server per hour. Assume general probability distribution and no buffer capacity restriction

Required:
a. Find the optimal number of servers to be employed to minimize the total of waiting and server costs.
b. Find the average waiting time and the average total time through the system for the optimal case.
c. Find the cost per hour, average waiting time, and average flow time for one server if the probability distributions for the interarrival time and service time are assumed to be exponential and the mean values remain the same. .

Answers

Answer 1
Cost per hour with one server = $ 59.00

Cost with 2 servers = $ 52.19

Cost with 2 servers = $ 75.40

Total cost with 2 servers is the lowest ($ 52.19). Therefore, two servers are optimal.

b) With 2 servers,

Average waiting time, Tq = 0.2188 minutes

Total time = Tq+p = 0.2188+15 = 15.2188 minutes

c) Arrival rate, \lambda = 60/20 = 3 per hour

Service rate, \mu = 60/15 = 4 per hour

Lq = \lambda 2/(\mu*(\mu-\lambda)) = 32/(4*(4-3)) = 2.25

Cost per hour = Lq*Cw+Cs = 2.25*200 + 25 = $ 475

Waiting time, Wq = Lq/\lambda = 2.25/3 = 0.75 hour = 45 min

Flow time = Wq+1/\mu = 0.75+1/4 = 1 hour = 60 min

Related Questions

When assessing whether product release deadlines were met during the first three months of the year, the quality assurance (QA) team noted that they were late 23 percent of the time. During that time, the team had hired two new specialists. The team immediately assessed their processes, including that of approving lot records, a required step to ensure that each lot met product requirements, which then triggered a product release. They found that the new QA reviewers were slow to make decisions because of lack of experience and knowledge. Which statement best explains why analyzing the lot record process and identifying the major constraint for product release was helpful to the QA director so she could take action to improve?a. Knowing what the constraint was helped the QA director to watch deadlines more closely as she is the one responsible for meeting them.
b. Analyzing the root cause of the delays helped the QA director alert the new specialists that their work was not acceptable.
c. Understanding what went wrong helped the QA director rethink her hiring policy and process so she could identify stronger candidates.
d. Identifying the constraint informed the QA director of the need for increased training for the new specialists.

Answers

B because I believe I did this before

Identifying the constraint declared the QA director the requirement for increased training for the unique specialists. This statement best describes why investigating the lot record operation and identifying the major constraint for product release existed useful to the QA director.

Who is a QA director?

Quality assurance or QA director creates sure high-quality products exist delivered on time and within budget. The role manages all the systems, processes, and enterprises that alleviate quality issues. Directors work with internal partners whose obligations connect to compliance and production. The Head of Quality Assurance assumes ownership of the department's performance as well as obligation over the resolution of technical issues and debugging movements of the business's software/products.

Therefore, the (d) option exists as the correct answer.

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Which of the following is one way business can be categorized ? A. By width B. By product C. By salary D. By demographic

Answers

Answer:

D; by demographic

demographic because of the society

In this activity, you’ll research incidents in which employers disciplined employees for not using social media responsibly. You’ll study why employers disciplined these employees and how company social media policies influenced the action taken against them. You’ll also create a list of five social media usage rules that you think all workers must follow. Finally, you’ll write about how you’ll avoid risky behaviors when using social media. Part A Conduct an Internet search and research at least three instances in which employers disciplined (or fired) employees (who were not at work during the time of posting) for an inappropriate social media posting. Briefly discuss the three instances and explain why the employer fired or punished the employee and how the social media post was inappropriate.

Answers

Answer:

in sum, an employer can terminate an employee for posting about individual gripes, but there can be a fine line between an individual complaint and attempt at concerted activity. Employers should consult with counsel before terminating or disciplining an employee for posting about work-related activity.

Temporary Aid to Needy Families (TANF) a. A welfare program that replaced AFDC in 1996. It introduced a new education requirement that was designed to push welfare recipients into special college and GED programs. b. A welfare program that replaced Social Security in 1965. It introduced a work requirement that was designed to push welfare recipients into the low wage labor market. c. None of the other answers. d. A welfare program that replaced AFDC in 1996. It eliminated the New Deal era work requirement that many people believed was designed to effectively re-enslave African Americans. e. A welfare program that replaced AFDC in 1965. It introduced a work requirement that was designed to push welfare recipients into the low wage workforce.

Answers

Explanation:

D: A welfare program that replaced AFDC in 1996. It eliminated the New Deal era work requirement that many people believed was designed to effectively re-enslave African Americans

Firm I has been selling its products through a distributor for some time. It has become the market share leader. Unfortunately, this distributor has not been able to keep up with the evolving technology and customers are complaining. There are no alternative distributors available. Should Firm I keep its current distributor or should it begin distribution on its own?

Answers

Firm I should  begin distribution on its own in order to prevent loss and

liquidation of the company.

It is best for the company to become vertically integrated in instances such

as this. Vertical integration involves companies controlling more than one

stage of production.

By so doing, the company can restrategize and ensure its products satisfy

the customers through the adoption of the technology they are complaining

about. This helps to ensure increased profit made from the goods.

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Human Resources and many other departments at Walmart will use the following as a form of business communication

Answers

Human Resources as well as many other departments at Walmart usually use Accounting as a form of business communication.

Human resources  can be regarded as division of a business which carry out some functions such as;

 finding and screening of employees. recruitment of employees.training job applicants.administering employee-benefit programs.

This department overseas the employees affairs as well as their behavior.

Therefore, they use accounting as means of communication.

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Help me please

With one worker, total production is 100. When a second worker is added, total product

increases to 300. The marginal product of the second worker is ….???
100.

200.

400.

300.

Answers

Total production is 100

let the product of second worker be x

then 100+x = 300

x = 200

The marginal product of the second worker is 200

Pamelia (21) is a full-time undergraduate student pursuing an accounting degree at her state university. During the year, she received a $6,500, unrestricted scholarship, reported to her on Form 1098-T rather than Form W-2. She spent $5,500 of the scholarship funds on her current-year tuition, and she applied the rest to room and board. Pamelia also had income from a part-time job, and she is required to file a 2020 tax return. How does she report the scholarship on her Form 1040

Answers

Based on the information given, in order to report the scholarship, the best option is B. She should enter "SCH" and "1000" on the dotted line next to line 1 of form 1040.

It should be noted that form 1040 is the form that uses by individual taxpayers to file their taxes with the IRS. In this case, it should be noted that scholarship money can either be tax fee or partially free.

From the complete information, Pamelia received a $6,500, unrestricted scholarship, reported to her on Form 1098-T rather than Form W-2. Therefore, since she didn't get a W-2 listing the amount that's taxable, she should write SCH" and "1000" on the dotted line next to line 1 of form 1040.

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Help help help help help help help help

Answers

Answer:

Taxes

Explanation:

Answer:

answer is services. C one option

What is the unemployment rate in Cuba?

Answers

Answer:

Unemployment refers to the share of the labor force that is without work but available for and seeking employment. Cuba unemployment rate for 2020 was 3.87%, a 2.2% increase from 2019. Cuba unemployment rate for 2019 was 1.67%, a 0.03% decline from 2018.

Explanation:

What type of business organization generates the most total sales? General partnership Corporation Sole proprietorship O Partnership O Cooperative Previous? ​

Answers

Answer:

d

Explanation:

The Corporation business organization generates the most total sales. Option B is correct

What is a  Corporation

Corporations generally generate the most total sales due to their scale and reach. They have the ability to raise funds publicly through the sale of stocks, which allows them to grow and expand more quickly than other types of business organizations.

In addition, corporations are typically larger in size and have greater resources, allowing them to generate higher sales volumes. They often operate across multiple markets and regions, both domestically and internationally, further contributing to their high total sales.

Hence option B corporation generates the most total sales

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Suppose you deposit $1,000 in a bank and the reserve requirement is 0.25. If the banking system has zero excess reserves, then the total amount of money that can be created is

Answers

the additional money created is 0.25 x $1000 = $250 so add that to the deposit: $1000 + $250 =$1250 created

According to the Money Multiplier theory, the central bank can change the supply of money to the economy by changing the reserve requirements.

What do you mean by Money Multiplier?

The total amount of money in a commercial bank is created, in general, the number of stocks multiplied by a set amount of central bank money (multiplier).

If banks do not have excess deposits, the total withdrawal amount is the same as the repayment deadlines. Theoretically, banks will never have a surplus.

[tex]\rm\,money \; multiplier = 1/ r \\\\ \rm\,money \; multiplier = 1/0.25\\\\ \rm\,money \; multiplier = 4\\\\(r = reserve \;requirement)[/tex]

So, if I know that the multiplier rate is 4, then if the central bank creates the reserve requirement at 0.25 then the amount that will be kept as reserve will be 0.25 multiplied by 1000 which is $250.

Thus, the total amount of money that can be created will be a multiplier multiplied by 1,000 which is 4*1,000 = $4,000.

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what the number of units to be produced it the firm desires to make a profit of birr 10,000 assuming the fixed cost, variable cost, per unit and selling price per unit are 50,000 birr 10 and birr 20 respectively.​

Answers

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6000 units, the number of units to be produced it the firm desires to make a profit of birr 10,000 assuming the fixed cost, variable cost, per unit and selling price per unit are 50,000 birr 10 and birr 20 respectively.

What is the variable cost?

A variable cost is a business expense that varies according to how much a business provides or sells. Variable costs rise or fall in relation to a company's manufacturing or sales volume, rising as production increases and falling as production drops. Variable cost is defined as the type of cost that varies according to changes in the production levels.

According to the given amount are the based on the

sales = variable cost + fixed cost + profit

(20X) =  (10X) + (50000) + (10000)

sales = 6000 units

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Trey is the manager of a sales team in a corporation. If his team members are able to meet their daily targets regularly, they get an extra day off every month. However, if they fail to do so, Trey makes them work extra hours every week. In this scenario, Trey is using _____.

A. concertive control

B. bureaucratic control

C. adaptive control

D. normative control

Answers

The control used by Trey when he want employee to work extra hours every week is they failed to meet target is known as bureaucratic control.

The bureaucratic control refer to a form of control which is base on formal system of rules, roles, records, rewards etc

Typically, an organization uses the bureaucratic control to influence, monitor and assess its employee performance.

Hence, the control used by Trey when he want employee to work extra hours every week is they failed to meet target is known as bureaucratic control.

Therefore, the Option B is correct.

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Jimmie is purchasing a home with a purchase price of $350,000. He has been approved for a loan with an 85% LTV. What is his down payment

Answers

Based on the information given the down payment is $52,500.

Using this formula

Down payment=(100%-Approved loan percentage)×Purchase price

Where:

Approved loan percentage=85%

Purchase price=$350,000

Let plug in the formula

Down payment=(100%-85%)×$350,000

Down payment=15%×$350,000

Down payment=$52,500

Inconclusion the down payment is $52,500.

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Which business policy would most likely help a single parent family?

Answers

Work in restaurant like Mac and bohari

On the last day of its current tax year, Buy Rite LLC received $390,000 when it sold a machine it had purchased for $270,000 three years ago to use in its business. At the time of the sale, the basis in the equipment had been reduced to $230,000 due to tax depreciation taken. How much did the members’ self-employment earnings from Buy Rite increase when the equipment was sold? [Hint: See IRC §1402(a)(3).]

Answers

Answer:

1,402

Explanation:

The scope of disaster recovery is ______________ than that of generalized Business Continuity; generalized Business Continuity spans the entire organization, but disaster recovery is said to be ______________. Select one: a. Wider / mission-critical b. Narrower / IT-centric c. Wider / technically prejudiced d. Narrower / peripherally vulnerable

Answers

Based on business management, the scope of disaster recovery is Narrower than that of generalized Business Continuity; generalized Business Continuity spans the entire organization, but disaster recovery is "IT-centric."

What is the Scope of Disaster Recovery?

Scope of Disaster Recovery is a process or related activities that involve the actions performed to recover and protect a company's IT infrastructure when there is a disaster.

The scope of Disaster Recovery is limited to IT-related issues concerning business firms.

Hence, in this case, it is concluded that the correct answer is option B. "Narrower / IT-centric."

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An asset was acquired on October 1, 2021, for $78,000 with an estimated five-year life and $13,000 residual value. The company uses units-of-production depreciation and expects the asset to produce 20,000 units. Calculate the gain or loss if the asset was sold on March 31, 2024, for $58,000. Actual production was: 2021 = 500 units; 2022 = 3,000 units; 2023 = 3,500 units; 2024 = 1,000 units.

Answers

Based on the information given  the gain or loss if the asset was sold on March 31, 2024 is $6,000 gain.

Depreciation per units= (Original cost - Residual value) ÷ (Estimated production units)

Depreciation per units= ($78,000 - $13,000) ÷ 20,000 units

Depreciation per units= $65,000 ÷ 20,000 units

Depreciation per units= $3.25 per units

Accumulated depreciation=(500 units × $3.25)+( 3,000 units × $3.25)+(3,500 units × $3.25)+( 1,000 units × $3.25)

Accumulated depreciation= $1,625 + $9,750 + $11,375 + $3,250

Accumulated depreciation= $26,000

Book value= Acquired value of an asset - Accumulated depreciation  

Book value= $78,000 - $26,000

Book value= $52,000

Gain or Loss= Sale value - Book value

Gain or Loss= $58,000 - $52,000

Gain or Loss= $6,000 gain

Inconclusion the gain or loss if the asset was sold on March 31, 2024 is $6,000 gain.

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Free if I am voted brainiest and like!
Next time will be Moree than 50.... :)

Answers

Answer:

huh?

what?

is this fReEeE?

For what kind of discrimination does the EEOC handle complaints?

race and sex only

race, sex, color, religion, or nationality

religion and nationality only

Answers

Answer:

2.)- race, sex, color, religion, or nationality.

Explanation:

:)

the answer is the second option

Give 3 sample of best practice, how airline can improve "Cost" efficiency?

Answers

It is called "cost efficiency" to the way in which a company, through specific commercial organization actions, manages to reduce the costs necessary to obtain a certain profit.

Thus, they seek to minimize the costs and operational losses of the company, with the aim of maximizing profits.

In this way, 3 ways in which an airline could increase its cost efficiency are:

fly to places with high demand, reducing presence in not so popular destinations. reduce the time on the ground for each plane, so that it generates money almost constantly. perform optimal maintenance on each plane, to avoid breakages.

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Your dishwasher can handle 100 plates per hour. Your stove can handle 30 meals (each on single plate) per hour. All of your meals require plates but only 60% of meals need something prepared on the stove. Which is more likely to cause a bottleneck, the dishwasher or the stove?

Answers

Based on the capacities of the dishwasher and the stove, the likely source of a bottleneck is the stove.

A bottleneck refers to:

A point in the production process that slows down production A point in the production process that is being overloaded with workloads

The dishwasher can wash 100 plates per hour. Assuming 60 meals were to be made in an hour, the dishwasher would be able to wash enough dishes but the stove would only handle 30 meals yet it is to handle:

= 60 x 60%

= 36 meals

In conclusion, the stove is therefore the source of the bottleneck.

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When buyers in a competitive market take the selling price as given, they are said to be a. monopolists. b. free riders. c. price takers. d. market entrants.

Answers

The answer should be C.) price takers. Hope this helps!

Product DGH has a monthly demand of 5,000 units. Its contribution margin is $18 per unit and $36 per direct labor hour. Product RBG has a monthly demand of 4,000 units. It's contribution margin is $15 per unit and $60 per direct labor hour. If the company only has 1,500 direct labor hours available, the company should produce _______________ units of Product DGH _____________ and units of Product RBG.

Answers

A) 1,000

The remaining 500 hours can be used to make 1,000 units of DGH (36/18 = 2 units per hour X 500 hours left of the 1,500

B) 4,000

RBG has the highest CM per hour and requires 1,000 hours to meet demand. (60/15 = 4) 4,000/4 = 1,000 1,500-1,000 = 500

The best life insurance policy for the payment of federal estate taxes for a 55-year-old couple with illiquid assets is:__________ A. AN individual whole life policy on each spouse on a cross-ownership basis B. A joint first to die life insurance policy owned jointly C. A jount last to die insurance policy owned by the spouse with the larger estate D. A joint and last to die insurance policy owned be an irrevocable life insurance trust

Answers

Answer:

D. A joint and last to die insurance policy owned be an irrevocable life insurance trust

Explanation:

the fair market value of all real and personal property owned at death, transfers with a retained life estate, transfers taking effect at death, revocable transfers, annuities, joint interests, certain powers of appointment, and certain proceeds of life.

Answer:

D

Explanation:

Answer: d) A joint and last-to-die life insurance policy owned by an irrevocable life insurance trust.

I need a Christmas present for a 40-year-old man a 32-year-old woman a 9-year-old girl a 12-year-old girl and a 4-year-old boy

Answers

What is the question??

Suppose that you are in charge of an insurance company. Two kinds of people want insurance, healthy people who probably will not get sick this year and unhealthy people who probably will get sick this year. Healthy people expect to pay, on average, $4,000 on medical bills this year. Unhealthy people expect to pay, on average, $8,000 on medical bills this year. Consider these assumptions and then answer the problem.
(i) People will not pay more for insurance than they expect to pay in medical bills; people are risk neutral. As such, healthy people will not pay more than $4,000 for insurance, and sick people will not pay more than $8,000.
(ii) You want to insure as many people as possible, but you cannot charge less for insurance than you expect to pay out. If you do, you will go bankrupt, and you will not be able to pay the medical bills of some people who get sick.
(iii) People know whether they are healthy or unhealthy, but it is either impossible or illegal for you to know whether a person is healthy or unhealthy. This means that you cannot charge less to healthy people and more to sick people since you do not know which individuals fall into each group.
(iv) There are an equal number of healthy and unhealthy people.
How much will you charge for insurance in equilibrium, and who will buy insurance?
a. You charge $2,000 and everyone buys insurance.
b. You charge $3,000 and only unhealthy people buy insurance.
c. You charge $1,000 and everyone buys insurance.
d. You charge $1,000 and only healthy people buy insuran.
e. You charge $3,000 and everyone buys insurance.

Answers

The equilibrium premium, which balances the premiums charged to healthy and unhealthy people, charged for insurance under this scenario is e. You charge $3,000 and everyone buys insurance.

$3,000 will be affordable to both the healthy and the unhealthy.  This amount of premium will enable both classes to buy insurance.

It will not benefit the company to charge:

$2,000 and enable everyone to buy insurance$3,000 and enable only unhealthy people to get insurance$1,000 so that only the healthy people to buy insurance$1,000 because only healthy people buy insurance.

Thus, the insurance premium charged should be Option E.

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As a high school student, which of the three error types would you be most concerned about? Why?

Answers

The three error types i would be most concerned about is wrong address, misspelled name and wrong name because they could lead to lower credit scores

The error in this context related to credit report errors which can happen while been a high school student.

Credit report refers to the organized record database of borrower's credit history from different sources.

Based on statistics, the student responded that the error they are most concerned about includes:

Wrong AddressMisspelled NameWrong Name.

Hence, the three error types i would be most concerned about is wrong address, misspelled name and wrong name because they could lead to lower credit scores.

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What should I make handmade for a Christmas gift

Answers

Answer:

it really depends on the person what is that person into like maybe draw one of theree favroite things paint them something thats all i can think of for homemade

Explanation:

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