Chip Bilton sells sweatshirts at State U football games. He is equally likely to sell 200 or 400 sweatshirts at each game. Each time Chip places an order, he pays $500 plus $5 for  each sweatshirt he orders. Each sweatshirt sells for $8. A holding cost of $2 per shirt  (because of the opportunity cost for capital tied up in sweatshirts as well as storage  costs) is assessed against each shirt left at the end of a game. Chip can store at most  400 shirts after each game. Assuming that the number of shirts ordered by Chip must  be a multiple of 100, determine an ordering policy that maximizes expected profits  earned during the first three games of the season. Assume that any leftover sweatshirts  have a value of $6.

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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Chip Bilton sells sweatshirts at State U football games. He is equally likely to sell 200 or
400 sweatshirts at each game. Each time Chip places an order, he pays $500 plus $5 for 
each sweatshirt he orders. Each sweatshirt sells for $8. A holding cost of $2 per shirt 
(because of the opportunity cost for capital tied up in sweatshirts as well as storage 
costs) is assessed against each shirt left at the end of a game. Chip can store at most 
400 shirts after each game. Assuming that the number of shirts ordered by Chip must 
be a multiple of 100, determine an ordering policy that maximizes expected profits 
earned during the first three games of the season. Assume that any leftover sweatshirts 
have a value of $6. 

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