8. James Beerd bakes cheesecakes and Black Forest cakes. During any month, he can bake at most 65 cakes. The costs per cake and the demands for cakes, which must be met on time, are listed in the Table. It costs 50¢ to hold a cheesecake, and 40e to hold a Black Forest cake, in inventory for a month. Formulate an LP to minimize the total cost of meeting the next three months' demands. Item Cheesecake Black Forest Demand 40 20 Month 1 Cost/Cake (5) 3.00 2.50 Demand 30 30 Month 2 Cost/Cake (5) 3.40 2.80 Demand 20 10 Month 3 Cost/Cake (S) 3.80 3.40

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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8. James Beerd bakes cheesecakes and Black Forest cakes. During any month, he can bake at
most 65 cakes. The costs per cake and the demands for cakes, which must be met on time,
are listed in the Table. It costs 50¢ to hold a cheesecake, and 40¢ to hold a Black Forest
cake, in inventory for a month. Formulate an LP to minimize the total cost of meeting the
next three months' demands.
Month 3
Cost/Cake (S)
Month 1
Month 2
Item
Demand
Cast/Cake (S)
Demand
Cest/Cake ($)
Demand
Cheesecake
40
3.00
30
3.40
20
3.80
Black Forest
20
2.50
30
2.80
10
3.40
Transcribed Image Text:8. James Beerd bakes cheesecakes and Black Forest cakes. During any month, he can bake at most 65 cakes. The costs per cake and the demands for cakes, which must be met on time, are listed in the Table. It costs 50¢ to hold a cheesecake, and 40¢ to hold a Black Forest cake, in inventory for a month. Formulate an LP to minimize the total cost of meeting the next three months' demands. Month 3 Cost/Cake (S) Month 1 Month 2 Item Demand Cast/Cake (S) Demand Cest/Cake ($) Demand Cheesecake 40 3.00 30 3.40 20 3.80 Black Forest 20 2.50 30 2.80 10 3.40
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