Millennium Liquors is a wholesaler of sparkling wines. Its most popular product is theFrench Bete Noire, which is shipped directly from France. Weekly demand is 45 cases.Millennium purchases each case for $120, there is a $300 fixed cost for each order(independent of the quantity ordered), and its annual holding cost is 25 percent.a. What order quantity minimizes Millennium’s annual ordering and holding costs?b. If Millennium chooses to order 300 cases each time, what is the sum of its annualordering and holding costs?c. If Millennium chooses to order 100 cases each time, what is the sum of the orderingand holding costs incurred by each case sold?d. If Millennium is restricted to ordering in multiples of 50 cases (e.g., 50, 100, 150, etc.),how many cases should it order to minimize its annual ordering and holding costs?e. Millennium is offered a 5 percent discount if it purchases at least 1000 cases. If itdecides to take advantage of this discount, what is the sum of its annual ordering andholding costs?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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Millennium Liquors is a wholesaler of sparkling wines. Its most popular product is the
French Bete Noire, which is shipped directly from France. Weekly demand is 45 cases.
Millennium purchases each case for $120, there is a $300 fixed cost for each order
(independent of the quantity ordered), and its annual holding cost is 25 percent.
a. What order quantity minimizes Millennium’s annual ordering and holding costs?
b. If Millennium chooses to order 300 cases each time, what is the sum of its annual
ordering and holding costs?
c. If Millennium chooses to order 100 cases each time, what is the sum of the ordering
and holding costs incurred by each case sold?
d. If Millennium is restricted to ordering in multiples of 50 cases (e.g., 50, 100, 150, etc.),
how many cases should it order to minimize its annual ordering and holding costs?
e. Millennium is offered a 5 percent discount if it purchases at least 1000 cases. If it
decides to take advantage of this discount, what is the sum of its annual ordering and
holding costs?

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