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
a. Formulate a linear programming model to determine the optimal product mix that will maximize profit.
b. Transform this model into standard form.
(a) Let x units of A and y units of B be produced to earn maximum profit. Then we have the linear programming problem:
Maximize P = 9x + 7y
A neat and step-by-step solution is provided in order to create a linear programming model to maximize profit and then transform this model into standard form.