Cave V. Sports makes two balls: AL1 and BL1. In total 9,000 machine-hours are available for making both products. The AL1 requires 4 hours per unit and the BL1 requires 8 hours per unit. Also available are 6,000 person-hours for painting the products. The respective number of person-hours required for painting the AL1 and BL1 are 4 and 6 respectively. The company has orders for 150 units of the AL1. The AL1 contributes $353 to company profits while the BL1 contributes $475 to company profits.

1. State the objective function and the constraints related to the above conditions. 4 marks
2. Graph the constraints to this linear programming problem, determine the points that make the feasible region and the optimal number of AL1 and BL1. (Show your calculations). 5 marks ( use excel to show)