The bookstore at Tech purchases jackets emblazoned withthe school name and logo from a vendor. The vendor sellsthe jackets to the store for $38 apiece. The cost to the bookstore for placing an order is $120, and the annual car-rying cost is 25% of the cost of a jacket. The bookstore manager estimates that 1700 jackets will be sold during theyear. The vendor has offered the bookstore the followingvolume discount schedule: Order Size Discount1–299 0%300–499 2%500–799 4%800 5% What is the bookstore’s optimal order quantity, given thisquantity discount information?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
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The bookstore at Tech purchases jackets emblazoned with
the school name and logo from a vendor. The vendor sells
the jackets to the store for $38 apiece. The cost to the

bookstore for placing an order is $120, and the annual car-
rying cost is 25% of the cost of a jacket. The bookstore

manager estimates that 1700 jackets will be sold during the
year. The vendor has offered the bookstore the following
volume discount schedule:

Order Size Discount
1–299 0%
300–499 2%
500–799 4%
800 5%

What is the bookstore’s optimal order quantity, given this
quantity discount information?

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