I need a detailed explanation on how to solve this problem: A bagel shop buys each bagel for $0.08 and sells each bagel for $0.35.  Leftover bagels at the end of the day are purchased by a local soup kitchen for $0.03 per bagel.  The shop’s owner has observed for the daily demand, Q, the following probabilities, f(Q):   Q 0 5 10 15 20 25 30 35 f(Q) 0.05 0.10 0.10 0.20 0.25 0.15 0.10 0.05 - What is the optimal daily order in multiples of 5 (include the model name and formula)? - If the daily demand is normally distributed (the mean and variance can be obtained from the table above), then what is the optimal daily order?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter10: Introduction To Simulation Modeling
Section: Chapter Questions
Problem 33P: W. L. Brown, a direct marketer of womens clothing, must determine how many telephone operators to...
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I need a detailed explanation on how to solve this problem:

A bagel shop buys each bagel for $0.08 and sells each bagel for $0.35.  Leftover bagels at the end of the day are purchased by a local soup kitchen for $0.03 per bagel.  The shop’s owner has observed for the daily demand, Q, the following probabilities, f(Q):

 

Q

0

5

10

15

20

25

30

35

f(Q)

0.05

0.10

0.10

0.20

0.25

0.15

0.10

0.05

- What is the optimal daily order in multiples of 5 (include the model name and formula)?

- If the daily demand is normally distributed (the mean and variance can be obtained from the table above), then what is the optimal daily order?

 

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