A suburban specialty restaurant has developed a single drive-thru window. Customers order, pay, and pick up their food at the same window. Arrivals follow a Poisson distribution, while service times follow an exponential distribution. If the average number of arrivals is 6 per hour and the service rate is 2 every 15 minutes.

What is the average number of customers in the system?

a. 0.50
b. 1.00
c. 2.25
d. 3.00
e. None of the above

What is the average number of customers waiting in line behind the person being served?

a. 0.50
b. 0.75
c. 2.25
d. 3.00
e. None of the above

What proportion of the time is the server busy?

a. 0.25
b. 0.50
c. 0.75
d. 2.25
e. 3.00

Answers

Answer 1

Solution :

The average number of the arrivals, λ = 6 per hour

Average service rate, [tex]$\mu = \frac{60 \times 2}{15}$[/tex]

                                      = 8

Average number of the customers in the system is given by,

    [tex]$= \frac{\lambda}{\mu - \lambda }$[/tex]

   [tex]$= \frac{6}{8 - 6 }$[/tex]

  = 3

Average number of the customers that are waiting in the line behind the person who are being served is,

   [tex]$=\frac{\left(\frac{\lambda}{\mu}\right)^2}{1-\frac{\lambda}{\mu}} $[/tex]

  [tex]$=\frac{\left(\frac{6}{8}\right)^2}{1-\frac{6}{8}} $[/tex]

 [tex]$=\frac{(0.75)^2 }{0.25} $[/tex]

  = 2.25

Proportion of the time the server is busy,

    [tex]$=\frac{\lambda}{\mu}$[/tex]

   [tex]$=\frac{6}{8}$[/tex]

   = 0.75


Related Questions

Park Hyatt Philadelphia has 118 king/queen rooms that it offers to both leisure and business travelers. With leisure travelers in mind, the Hyatt offers a $125 low fare for a midweek stay, which contrasts with the regular fare of $300. The forecasted demand for business travel is normally distributed with a mean of 60 customers and standard deviation of 20 customers. Assuming that leisure travelers always reserve their rooms earlier than business travelers. To maximize the revenue, the Hyatt decides to save some rooms for business travelers. The optimal number of rooms protected should be:__________ a. <60 b. >118 c. >60 d. =60

Answers

Answer:

c. >60

Explanation:

Given that:

Overage (CO) = 125

Shortage (CS) = 300

The Service level = [tex]\dfrac{CS}{CS+CO}[/tex]

[tex]=\dfrac{300}{300+125}[/tex]

[tex]=\dfrac{300}{425}[/tex]

= 0.7059

The Z value of 0.7059 is 0.55

where;

the mean [tex]\mu[/tex] = 60

the standard deviation [tex]\sigma[/tex]= 20

Optimal booking = [tex]\mu +(Z \times \sigma)[/tex]

Optimal booking = 60 + (0.55 × 20)

Optimal booking = 60 + 11

Optimal booking = 71

Perch Co. acquired 80% of the common stock of Float Corp. for $1,600,000.The fair value of Float Is net assets was $1,850,000, and the book value was $1,500,000.The non controlling interest shares of Float Corp. are not actively traded. What is the total amount of goodwill recognized at the date of acquisition

Answers

Answer:

150,000

Explanation:

Answer:

$150,000

Explanation:

Calculation for the total amount of goodwill recognized at the date of acquisition

First step is to calculate the Cost(PP)

Cost(PP) =$1,600,000/.8

Cost(PP)= $2,000,000

Second step is to calculate the goodwill

to be recognized

Goodwill=$2,000,000- $1,850,000

Goodwill= 150,000

Therefore the total amount of goodwill recognized at the date of acquisition is $150,000

Bramble Corp. reported net income of $87800 for the year ended December 31, 2021. Included in net income were depreciation expense of $16500 and a gain on sale of equipment of $3600. The equipment had an historical cost of $80500 and accumulated depreciation of $48400. Each of the following accounts increased during 2021: Land $10900 Prepaid rent $14000 Available-for-sale securities $2000 Bonds payable $9500 What is the amount of cash provided by or used by investing activities for Bramble Corp. for the year ended December 31, 2021?

Answers

Answer:

net cash provided by investing activities $22,800

Explanation:

the carrying value of the equipment = $80,500 - $48,400 = $32,100

the sales price of the equipment was $32,100 + $3,600 (gain on sale) = $35,700

land was purchased for $10,900

available for sale securities were purchased fro $2,000

total cash flows from investing activities = $35,700 (cash proceeds from sales of equipment) - $10,900 (land purchased) - $2,000 (AFS securities purchased) = $22,800

What is an added value???

Answers

Explanation:

The difference between the price of the finished product/service and the cost of the input involved in making it is known as an added value

The difference between the price of the finished product/service and the cost of the input involved in making it is known as an added value

please help me answer this...

Answers

i cant see it Ooooooooooooooo
I cant see the question either

Long Life Floors just paid an annual dividend of $0.82 a share and plans on increasing future dividends by 2 percent annually. The discount rate is 15 percent. What will the value of this stock be 5 years from

Answers

Answer:

the value of this stock be 5 years from today is $7.10

Explanation:

The computation of the value of the stock be 5 years from today is as follows:

D6 is

= D0 × (1 + 2%)^6

= $0.82 × (1 + 2%)^6

= 0.923453184

Now the price at year 5 is

= 0.923453184 ÷ (15% - 2%)

= $7.103486031

Hence, the value of this stock be 5 years from today is $7.10

new cars are normal goods. What will happen to the equilibrium price of new cars if the price of gasoline falls and auto-workers receieve lower wages

Answers

Answer:

Going by the logic that, new cars are normal goods, it is safe to assume that, the price of those cars would fall if it were to be that the price of gasoline falls and as well as the  auto-workers receive lower wages.

This is because, the relation between the two factors are directly proportional to each other.  For example, if the auto-workers wage were $100 per 100 and it was subsequently reduced to $40 per hour, the overhead cost would drastically be reduced.

Explanation:

______ occurs when an employee or an applicant is treated unfairly at work or in the job hiring process due to an identity group, condition, or personal characteristic.

Answers

Answer:

Workplace discrimination.

Explanation:

Workplace discrimination is an extremely negative situation that occurs due to certain characteristics of an individual. It may occur because the individual belongs to different ethnic groups, depending on nationality, color, religion, etc.

This situation is harmful to the organization as a whole, the discriminated individual is the one who suffers the most for having their equality rights violated and for feeling coerced and disrespected in a work environment that should be supported by criteria of equality, ethics and collaboration .

It is necessary for companies to be aware of possible loopholes in their policies that may corroborate with such illegal acts, revising them whenever necessary and strengthening the values ​​of respect for personal individualities and equality among employees.

GSX stock is selling for $32.40 a share. A 4-month call on GSX stock with a strike price of $35 is priced at $.55. Risk-free assets are currently returning .3 percent per month. What is the price of a 4-month put on GSX stock with a strike price of $35

Answers

Answer:

$3.03

Explanation:

Calculation for What is the price of a 4-month put on GSX stock with a strike price of $35

Based on the information given we would be using put-call parity formula

S + P = C + PV(E) P

Let plug in the formula

Price=$0.55 + ($35 / 1.0034) - $32.40

Price=$0.55 + $34.88 - $32.40

Price = $3.03

Therefore the price of a 4-month put on GSX stock with a strike price of $35 will be $3.03

Hardwoods, a timber supplying company, contracted with a furniture manufacturer, Taylor Furniture. Hardwoods owned a large plot of land where it grew oak and beech trees. Taylor had contracted with Hardwoods to buy one ton of each type of lumber grown by Hardwoods each month at a discounted price for the next five years. However, during the second year of the contract, and tornado Hardwoods farmland, and demolished its entire supply of wood. Taylor having no other supplier sued Hardwoods for breach of contract. Hardwoods argued that their contract had been legally discharged as soon as the tornado struck because at that point it was impossible for Hardwoods to supply lumber to Taylor. The court ruled in favor of Hardwoods. But what if the facts of the case were different

Answers

Answer:

the options are missing, so I looked for a similar question:

Instead of a tornado’s striking Hardwoods’ land, the state in which Hardwoods operates passes a law making it illegal for any lumber  companies to cut down trees for the purposes of selling their wood. This environmental measure causes Hardwoods to go out of business. Instead of demanding Oak and Beech wood grown specifically on Hardwoods’ land, Taylor requests shipments of Oak and Beech wood  from Hardwoods, and specifies in the contract that if Hardwoods cannot supply the wood, then Hardwoods should obtain the requested wood from another lumber supplier. Instead of a tornado’s striking Hardwoods’ tree farm, a wildfire burns all of Hardwoods’ trees. After the tornado, Hardwoods and Taylor Furniture agree to a novation, whereby a competing company, Oakempire, assumes the duties of  Hardwoods stated in the original contract.

The answers are:

2. Instead of demanding Oak and Beech wood grown specifically on Hardwoods’ land, Taylor requests shipments of Oak and Beech wood  from Hardwoods, and specifies in the contract that if Hardwoods cannot supply the wood, then Hardwoods should obtain the requested wood from another lumber supplier.

4. After the tornado, Hardwoods and Taylor Furniture agree to a novation, whereby a competing company, Oakempire, assumes the duties of  Hardwoods stated in the original contract.

Explanation:

In common law, a tornado or any other type of natural disaster is considered an Act of God. A company cannot be held liable for such events, and if a contract is breached because of it, there is no legal responsibility (option 3 is another type of Act of God)

Also, if the law or existing regulation changes, and that change makes it impossible for a party to fulfill their obligations, they are not liable for breaching the contract (option 1).

What is a 3-month overnight indexed swap (OIS)?

Answers

interest rate over a fixed term where the periodic floating payment is generally based on a return calculated from a daily compound interest investment.

Assume the following: The standard labor rate is $8.50 per hour. The standard quantity of labor allowed per unit is 4 hours. The company paid $342,000 for 38,000 hours of labor. The company actually produced 10,000 units of finished goods during the period. What is the labor efficiency variance

Answers

Answer: 17000F

Explanation:

The labor efficiency variance based on the information provided in the question would be calculated as:

= (Standard hours - Actual hours) × Standard rate

= (40000 - 38000) × 8.50

= 2000 × 8.50

= 17000 favourable

Note;

Standard hours = 10000 × 4 hours = 40,000 hours

What is the modified duration of a four-year bond with annual 10% coupons and a 10% yield to maturity?

Answers

Answer:

the formula to calculate modified duration of bonds:

modified duration = [1 - (1 + y)⁻ⁿ] / y

modified duration = [1 - (1 + 10%)⁻⁴] / 10%  = 0.317 / 10% = 3.17 years

if you want to determine the Macaulay duration = modified duration x (1 + yield) = 3.17 years x 1.1 = 3.49 years

The modified duration shows how a bond's value can change as a result of a change in the interest rate.

Company A accounts for its investment in Company B under the equity method. Company A carried the Company B investment at $150,000 and $165,000 at December 31, 2020, and December 31, 2021, respectively. During 2021 Company B recognized $80,000 of net income and paid dividends of $30,000. Assuming that Company A owned the same percentage of Company B throughout 2021, its percentage ownership must have been:

Answers

Answer:

30%

Explanation:

Calculation for its percentage ownership

Percentage of ownership=($80,000 - $30,000)/$165,000

Percentage of ownership=$50,000/$165,000

Percentage of ownership = 30%

Therefore Assuming that Company A owned the same percentage of Company B throughout 2021, its percentage ownership must have been:30%

is global economic resistance good or bad?​ why?​

Answers

Answer:

The global economy can be a little frustrating because globalization and the global economy are terms that mean different things to different people. I have found that some people talk about the global economy and what they mean is the opening of markets and trade among nations—so that today you can buy products in a store that have been made everywhere around the world, and people everywhere around the world are buying products that we make.

That didn’t used to be the case, partly because transportation and communication technologies were inadequate and partly because there were a lot more political barriers and even wars going on that prevented people from trading with each other. But in the twentieth century—especially in the late twentieth century—there’s been a large-scale dismantling of political barriers to trade combined with a dramatic increase in communication and transportation technology that has opened up a new global market.

A cyclically adjusted budget balance: a. is an estimate of what the budget balance would be if real GDP were equal to potential output. b. is the same as the national debt, and it rises as interest cost is accrued. c. shows what the budget balance would be with a significant amount of cyclical unemployment. d. is a good indicator of the depreciation of the capital stock.

Answers

Answer:

a. is an estimate of what the budget balance would be if real GDP were equal to potential output.

Explanation:

A cyclically adjusted budget balance is an estimate of what the budget balance would be if real GDP were equal to potential output. A cyclical adjustment budget balance measures the stance of fiscal policy, as it removes the endogenous components of spending and revenues and its also estimate the budget balance if the economy is in the long run equilibrium.

10. Parmentier Company uses the weighted-average method in its process costing system. The Molding Department is the second department in its production process. The data below summarize the department's operations in January. The accounting records indicate that the conversion cost that had been assigned to beginning work in process inventory was $5,096 and a total of $87,668 in conversion costs were incurred in the department during January. What was the cost per equivalent unit for conversion costs for January in the Molding Department

Answers

Answer:

$1.752  per unit

Explanation:

The computation of the cost per equivalent unit for conversion cost is as follows:

Total conversion cost for month of January

= Opening wip conversion cost + current production conversion cost

= $5,096 + $87,668

= 92,764

Now the total equivalent units is

= Units transferred out + ending wip

= 51,300 × 100% + 5,500 × 30%

= 52,950 units

Now the cost per equivalent unit is

= $92,764 ÷ 52,950 units

= $1.752  per unit

are considering buying a new flat TV that costs today at $4,000. The bank has offered you a loan to buy it. The loan is a 2-year loan for which you will make bi-monthly payments (at the end of every two months). The APR for the loan is 24%. How much is the bi-monthly payment?

Answers

Answer:

don't know because I can't understand the language of question

Long Life Floors is expected to pay an annual dividend of $7 a share and plans on increasing future dividends by 2 percent annually. The discount rate is 15 percent. What will the value of this stock be 5 years from today

Answers

Answer: $60.62

Explanation:

Using the Gordon Growth model;

Value = Next dividend / (Required return - growth rate)

Next dividend in 5th year will be dividend in 6th year;

= 7 * (1 + 2%)⁶

= $7.88

Value₅ = 7.88 / (15% - 2%)

= $60.62

Allowance for Doubtful Accounts has a credit balance of $463 at the end of the year (before adjustment), and bad debt expense is
estimated at 2% of sales. If credit sales are $552,500, the amount of the adjusting entry to record the estimated uncollectible accounts
receivable is
a. $11,050
b. $10,587
c. $11,513
d. $463

Answers

Answer:

I really need help can you guys please go to my page and answer them!:)

Explanation:

Brief Exercise 229 Iverson Company purchased a delivery truck for $45,000 on January 1, 2020. The truck was assigned an estimated useful life of 5 years and has a residual value of $10,000. Compute depreciation expense using the double-declining-balance method for the years 2020 and 2021.

Answers

Answer:

the  depreciation expense using the double-declining-balance method for the years 2020 and 2021 is $18,000 and $10,800 respectively

Explanation:

The computation of the depreciation expense using the double declining method for the year 2020 and 2021 is as follows:

For 2020

= (Cost) × depreciation rate

= $45,000 × 1 ÷ 5 × 2

= $18,000

For 2021

= ($45,000 - $18,000) × 0.40

= $10,800

hence, the  depreciation expense using the double-declining-balance method for the years 2020 and 2021 is $18,000 and $10,800 respectively

On September 1, 2019, Parker, Inc. made a loan to one of its customers. The customer signed an 8-month note for $105,000 at 14%. Calculate the maturity value of the note. (Round any intermediate calculations to two decimal places, and your final answer to the nearest dollar.)

Answers

Answer:Maturity value =$115,000

Explanation:

Maturity value is the amount that includes the principal and accrued interest  that  a borrower should pay on  its maturity date.

Maturity value of note = Principal  + interest accrued

Interest = Principal x rate x time

=$105,000 x 14% X 8/12

=$9,800

Maturity value = $105,000 + 9,800

=$114,800

rounding up to the nearest dollar≈$115,000

When the overall market experiences a decline of 8%, an investor with a portfolio of defensive stocks will probably experience:

Answers

Answer:

losses greater than 8%

Explanation:

In a situation Where all the market experiences a reduction of 8% it means that investors that has a portfolio of defensive stocks will likely experience losses that are greater than 8% reason been that DEFENSIVE STOCK give continuous dividend.

Secondly DEFENSIVE STOCK earning are constant because they don't fluctuate despite the state of stock market.

What was the impact of "subprime" mortgages on the economy?

A.They increased defaults and caused large losses at financial institutions.

B.They initially reduced profits and sales of lenders.

C. They reduced interest rates.

Answers

Answer:

A.They increased defaults and caused large losses at financial institutions.

Explanation:

'Subprime" mortgages were home homes offered in the early 2000s to borrowers with low and poor credit history. By the time of issues, the interest rates were relatively low, which meant that subprime borrowers who usually attract high-interest rates were approved for mortgages. The demand for housing grew exponentially as borrowers with good and poor credit history alike tool mortgages. The price for houses continued to rise, prompting the Fed to raise the interest rate to contain inflation.

Between 2205 and 2006, house prices collapsed suddenly. Interest rates were rising, but house prices were dropping. Many homeowners were unable to repay their mortgages. The interest and principle there are paying were very high compared to the market value for the homes. There were massive layoffs by subprime mortgage lenders, while others closed down or applied for bankruptcy. The decline in prices implied that the mortgage value was high compared to the market price for houses.  

ABC Company on Jan 1, 2021 purchased a delivery van for $24,000. To complete the purchase, the company also incurred a $800 shipping cost and $1,200 sales tax. The company estimates that at the end of its four-year service life, the van will be worth $4,000. During the four-year period, the company expects to drive the van 100,000 miles. Actual miles driven each year were 20,000 miles in year 1; 25,000 miles in year 2; 44,000 miles in year 3; and 55,000 miles in year 4. Required: Using Straight-line depreciation method, what is the annual depreciation expense

Answers

Answer:

the yearly depreciation expense is $5,500

Explanation:

The computation of the yearly depreciation expense using the straight line method is as follows;

= (Purchase cost - salvage value) ÷ (estimated useful life)

= ($24,000 + $800 + $1,200 - $4,000) ÷ (4 years)

= ($26,000 - $4,000)  ÷ (4 years)

= $22,000 ÷  4 years

= $5,500

hence, the yearly depreciation expense is $5,500

If you purchase 100 shares of XYZ Corporation for $50 per share, receive a dividend check for $200, and then sell the stock for $62 per share, what will your return on the stock be

Answers

Answer:

Your return on the stock will be 28%.

Explanation:

Po = Initial price per share = $50

P1 = New price per share = $62

S = Number shares purchased = 100

D = Dividend per share = Dividend received / Number shares purchased = $200 / 100 = $2

Therefore, we have:

Stock return = ((P1 - Po) + D) / Po = (($62 - $50) + $2) / $50 = ($12 + $2) / $50 = $14 / $50 = 0.28, or 28%

Therefore, your return on the stock will be 28%.

you are a euro-based portfolio manager and you have invested in the technology sector of the U.S. stock market. You want to keep your exposure to tech stocks but are worried about an impending financial crisis in the United States. What is the best way to manage your dollar currency risk

Answers

Answer: You enter into Euro/USD forward contract.

Explanation:

Based on the information given in the question, the best way to manage the dollar currency risk is to enter into Euro/USD forward contract.

A forward contract is a contract between two parties whereby an asset is being bought it sold at a particular price in the future. It should be noted that forward contract is good for speculations.

cba corp is worth 15 million as a standalone firm. abc corp has offered 350000 shares valued at 50 each to acquire cba. after the annoucmen, however, the price of abc shares falls to 45. what is the cost of the merger

Answers

Answer:

$.75 million

Explanation:

Calculation for what is the cost of the merger

Cost of merger= $350,000 ×$45 - ($15 million)

Cost of merger= $15.75 - $15 million

Cost of merger= $.75 million

Therefore the cost of the merger will be $.75 million

Materials used by Jefferson Company in producing Division C's product are currently purchased from outside suppliers at a cost of $10 per unit. However, the same materials are available from Division A. Division A has unused capacity and can produce the materials needed by Division C at a variable cost of $7.50 per unit. A transfer price of $8.50 per unit is negotiated and 30,000 units of material are transferred from Division A to Division C, with no reduction in Division A's current sales. How much would Jefferson's total income from operations increase

Answers

Answer:

$75,000

Explanation:

Since both divisions are part of Jefferson Company, intercompany sales cannot yield a profit once the balance sheet is consolidated. In this case, Jefferson Company is saving $10 - $7.50 = $2.50  per unit and since it needed 30,000 units, it saved a total of $2.50 x 30,000 = $75,000. Whenever you save money, your profits will increase by the same amount.

Your portfolio is 310 shares of Callahan, Inc. The stock currently sells for $101 per share. The company has announced a dividend of $3.20 per share with an ex-dividend date of April 19. Assuming no taxes, what is your portfolio value as of April 19?

Answers

Answer: $‭30,318‬

Explanation:

On the day the dividend is announced, the price of the stock usually goes down by the amount of dividend announced.

Price on April 19 = 101 - 3.20 = $‭97.8‬0

Portfolio value = ‭97.8‬0 * 310 shares

= $‭30,318‬

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