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. Hours/Unit Product Line 1 Line 2 A 12 4 B 4 8 Total hours 60 40 a. Formulate a linear programming model to determine the optimal product mix that will maximize profit. b. Transform this model into standard form.

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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.
Hours/Unit
Product Line 1 Line 2
A 12 4
B 4 8
Total hours 60 40
a. Formulate a linear programming model to determine the optimal product mix that will maximize profit.
b. Transform this model into standard form.

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