A company produces two products that are processed on two assembly lines. Assembly line 1 has 100 available hours, and assembly line 2 has 42 available hours. Each product requires 10 hrs of processing time on line 1, while on line 2 product 1 requires 7 hours and product 2 requires 3 hours. The profit for product 1 is $ 6 per unit, and the profit for product 2 is $ 4 per unit.
a) Formulate a linear programming model for this problem.
b) Solve this model using graphical analysis