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- Rise bakery must determine the baking plan for the following week. The bakery wishes to bake at least 5 of each of the cake models that it offers and no more than 50 of any of the models. The specifics for each model are shown in the following table. How many cakes of each type should be manufactured in order to maximize total profit?
|
Cake model |
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Mixing the material (time in hr) |
Baking (time in hr) |
Final design (time in hr) |
Pack in the box (time in hr) |
|
Blueberry |
24 |
0.5 |
1 |
0.5 |
0.1 |
|
Go spurs |
30 |
0.6 |
1 |
0.7 |
0.1 |
|
Bride dream |
32 |
0.55 |
1.5 |
1 |
0.1 |
|
Available hours |
40 |
80 |
45 |
9 |
|
|
Labor cost per hour |
7 |
6 |
12 |
3 |
Blueberry Go Spurs Bride dream Labor cost per hour Number of cakes Number Revenue Labor cost per cake Profit Constraints: Mixing Baking Final design Packing Blueberry maximum Go Spurs maximum Bride dream maximum Blueberry minimum Go Spurs minimum Bride dream minimum LHS Sign RHS
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