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Vitek1552 [10]
2 years ago
12

A suburban specialty restaurant has developed a single drive-thru window. Customers order, pay, and pick up their food at the sa

me 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
Business
1 answer:
andrew11 [14]2 years ago
7 0

Solution :

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

Average service rate, $\mu = \frac{60 \times 2}{15}$

                                      = 8

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

    $= \frac{\lambda}{\mu - \lambda }$

   $= \frac{6}{8 - 6 }$

  = 3

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

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

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

 $=\frac{(0.75)^2 }{0.25} $

  = 2.25

Proportion of the time the server is busy,

    $=\frac{\lambda}{\mu}$

   $=\frac{6}{8}$

   = 0.75

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Toby’s current marginal utility from consuming peanuts is 100 utils per ounce and his marginal utility from consuming cashews is
Ne4ueva [31]

Answer:

Toby is not maximizing his utility because MUp/Pp > MUc/Pc

Explanation:

given data

marginal utility consuming peanuts =  100 utils per ounce  

marginal utility  consuming cashews = 200 utils per ounce

peanuts cost = 10 cents per ounce  

cashews cost = 25 cents per ounce

solution

we know that Toby will have maximize utility when here

Marginal utility of peanut ÷  price of peanut  = Marginal utility of cashew  ÷ cash   ..........................1

MU (p) ÷ P (p) = MU (c) ÷ P (c)

put here value

\frac{100}{10} = \frac{200}{25}

but here

10 > 8

so we can say Toby is not maximizing his utility because MUp/Pp > MUc/Pc

8 0
2 years ago
Read 2 more answers
When Corey runs out of shampoo he buys whatever brand is on sale at his local CVS drugstore. What is his level of involvement in
hodyreva [135]

Answer: A. Extensive

Explanation: When Corey runs out of shampoo he buys whatever brand is on sale at his local CVS drugstore.

From the above question, Corey has an extensive decision making on toothpaste purchase as he does not have any brand loyalty. He buys whatever brand is available for him to buy and he is not particular about the name, the size or content of the product he is buying.

6 0
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Anna is a team leader at Shine Design Inc. Gavin is her least preferred employee because he makes silly mistakes in his reports.
Korolek [52]

Answer:

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Explanation:

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2 years ago
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seropon [69]

Answer:

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Explanation:

Giving the following information:

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<u>First, we need to calculate the predetermined overhead rate:</u>

Predetermined manufacturing overhead rate= total estimated overhead costs for the period/ total amount of allocation base

Predetermined manufacturing overhead rate= (416,000/80,000) + 3.1

Predetermined manufacturing overhead rate= $8.3 per machine hour

8 0
3 years ago
Which of the following conditions ensures that excess profits cannot persist in a perfectly competitive market over the long run
konstantin123 [22]

Answer:

Ease of entry into the market

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I hope my answer helps you

3 0
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