Based on 3.10 problem 3: James Beerd bakes cheese cakes and Black Forest cakes. During any month he can bake at most 65 cakes. The cost per cake and the demands for cake, which must be met on time, are listed in the Table. It costs $ 1.50 to hold a cheesecake, and $ 1.20 to hold a Black Forest cake, in inventory for a month. Set up the LP and then determine the minimum cost to meet the demand. Month1 Month1 Month2 Month2 Month3 Month3 Demand Cost/cake Demand Cost/cake Demand Cost/cake 9 30 10.2 20 11.4 7.5 30 8.4 10 10.2 TYPE cheesecake 42 BlackForest 20 The minimum cost subject to the conditions is

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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Based on 3.10 problem 3: James Beerd bakes cheese cakes and Black Forest cakes. During any
month he can bake at most 65 cakes. The cost per cake and the demands for cake, which must be
met on time, are listed in the Table. It costs $ 1.50 to hold a cheesecake, and $ 1.20 to hold a Black
Forest cake, in inventory for a month. Set up the LP and then determine the minimum cost to meet
the demand.
Month1 Month1 Month2 Month2 Month3 Month3
Demand Cost/cake Demand Cost/cake Demand Cost/cake
9
30
10.2
20
11.4
7.5
30
8.4
10
10.2
TYPE
cheesecake 42
BlackForest 20
The minimum cost subject to the conditions is
Transcribed Image Text:Based on 3.10 problem 3: James Beerd bakes cheese cakes and Black Forest cakes. During any month he can bake at most 65 cakes. The cost per cake and the demands for cake, which must be met on time, are listed in the Table. It costs $ 1.50 to hold a cheesecake, and $ 1.20 to hold a Black Forest cake, in inventory for a month. Set up the LP and then determine the minimum cost to meet the demand. Month1 Month1 Month2 Month2 Month3 Month3 Demand Cost/cake Demand Cost/cake Demand Cost/cake 9 30 10.2 20 11.4 7.5 30 8.4 10 10.2 TYPE cheesecake 42 BlackForest 20 The minimum cost subject to the conditions is
Expert Solution
Step 1

It is mentioned that to meet the demand at minimum cost. This means, production must be greater than the demand.

Setup the LP using excel spreadsheet as shown  in the next step.

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