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The Hoosier Baking Concern makes three kinds of pastry: cakes, pies, and cheesecakes. Each product requires some labor in the baking department, the assembly department,

  1. The Hoosier Baking Concern makes three kinds of pastry: cakes, pies, and cheesecakes. Each product requires some labor in the baking department, the assembly department, and the shipping department. The pastry is sold through a regional distributor, which has estimated the maximum potential sales for each product in the coming quarter. The bakery manager has provided the table below:

Hours per Unit

Department

Cakes

Pies

Cheesecakess

Hours Available

Baking

4

5

2

1650

Assembly

2

3

2

2000

Shipping

2

1

1

1700

Demand Potential

(Max Potential Sales)

360

300

100

Profit

$15

$24

$18

Determine the product mix that that maximizes Hoosier Baking Concern's profit by choosing production quantities for the cakes, pies, and cheesecakes.

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