optimal lot sizes and reorder points for this brand

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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25. Billy’s Bakery bakes fresh bagels each morning. The daily demand for bagels is a
random variable with a distribution estimated from prior experience given by
# of bagels sold in
one day
probability
0
.05
5
.10
10
.10
15
.20
20
.25
25
.15
30
.10
35
.05
The bagels cost Billy’s 8 cents to make, and they are sold for 35 cents each. Bagels
unsold at the end of the day are purchased by a nearby charity soup kitchen for 3 cents
each
a) Based on the discrete distribution above, how many bagels should Billy’s bake at the
start of each day?
b) Determine the optimal number of bagels to bake each day using a normal
distribution
approximation. (Hint: You must compute the mean and the variance of
the demand from the discrete distribution above.)
26. Weiss’s paint store uses a reorder point inventory system to control its stock levels. For
a particularly popular white latex paint, historical data show that the distribution of
monthly demand is approximately normal, with mean 28 and standard deviation 8.
Replenishment lead time for this paint is about 14 weeks. Each can of paint costs the
store $6. Although excess demands are back-ordered, the store owner estimates that
unfilled demands cost about $10 each in bookkeeping and loss-of-goodwill costs. Fixed
costs for replenishment are $15 per order, and holding costs are based on a 30 percent
annual rate of interest.
a) What are the optimal lot sizes and reorder points for this brand of paint?
b) What is the optimal safety stock for this paint?

n given by
Number of Bagels
Sold in One Day
Probability
0.
.05
.10
10
.10
15
.20
20
.25
25
.15
30
.10
35
.05
The bagels cost Billy's 8 cents to make, and they are sold for 35 cents each.
Bagels unsold at the end of the day are purchased by a nearby charity soup
kitchen for 3 cents each.
a. Based on the discrete distribution above, how many bagels should Billy's
bake at the start of each day? (Your answer should be a multiple of 5.)
Transcribed Image Text:n given by Number of Bagels Sold in One Day Probability 0. .05 .10 10 .10 15 .20 20 .25 25 .15 30 .10 35 .05 The bagels cost Billy's 8 cents to make, and they are sold for 35 cents each. Bagels unsold at the end of the day are purchased by a nearby charity soup kitchen for 3 cents each. a. Based on the discrete distribution above, how many bagels should Billy's bake at the start of each day? (Your answer should be a multiple of 5.)
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