One of the products stocked at Weiss’s paint store, mentioned in Problem 14, is a certain type of highly volatile paint thinner that, due to chemical changes in the product,has a shelf life of exactly one year. Al Weiss purchases the paint thinner for $20 a galloncan and sells it for $50 a can. The supplier buys back cans not sold during the yearfor $8 for reprocessing. The demand for this thinner generally varies from 20 to 70cans a year. Al assumes a holding cost for unsold cans at a 30 percent annual interestrate.a. Assuming that all values of the demand from 20 to 70 are equally likely, what is theoptimal number of cans of paint thinner for Al to buy each year?b. More accurate analysis of the demand shows that a normal distribution gives abetter fit of the data. The distribution mean is identical to that used in part (a), andthe standard deviation estimator turns out to be 7. What policy do you nowobtain?

Practical Management Science
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ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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One of the products stocked at Weiss’s paint store, mentioned in Problem 14, is a certain type of highly volatile paint thinner that, due to chemical changes in the product,
has a shelf life of exactly one year. Al Weiss purchases the paint thinner for $20 a gallon
can and sells it for $50 a can. The supplier buys back cans not sold during the year
for $8 for reprocessing. The demand for this thinner generally varies from 20 to 70
cans a year. Al assumes a holding cost for unsold cans at a 30 percent annual interest
rate.
a. Assuming that all values of the demand from 20 to 70 are equally likely, what is the
optimal number of cans of paint thinner for Al to buy each year?
b. More accurate analysis of the demand shows that a normal distribution gives a
better fit of the data. The distribution mean is identical to that used in part (a), and
the standard deviation estimator turns out to be 7. What policy do you now
obtain?

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