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.