A company produces two products, A and B. Each must go through two assembly lines. Product A requires 12 hours on Line One and 4 hours on Line 2. Product B requires 4 hours on Line 1 and 8 hours on Line 2. Line 1 has 60 hours available and Line 2 has 40 hours available. Product A gains $9 net profit per unit and Product B gains $7 net profit per unit. How many of each product should the company produce to maximize profit?
a) Formulate this problem using a linear programming model.
b) Solve this model by using graphical analysis