A company produces two products, A and B, which have profits of $9 and $7, respectively. Each unit of product must be processed on two assembly lines, where the required production times are as follows: Product Line 1 Line 2 A 12 4 B 4 8 Total hours 60 40 1) Formulate a linear programming model to determine the optimal product mix that will maximize profit.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter6: Optimization Models With Integer Variables
Section6.3: Capital Budgeting Models
Problem 3P: Solve Problem 1 with the extra assumption that the investments can be grouped naturally as follows:...
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A company produces two products, A and B, which have profits of $9 and $7, respectively. Each unit of product must be processed on two assembly lines, where the required production times are as follows:

Product Line 1 Line 2
A 12 4
B 4 8
Total hours 60 40

1) Formulate a linear programming model to determine the optimal product mix that will maximize profit.

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9781337406659
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Cengage,