Titod Inc. makes two products: A and B. In total 6,000 machine-hours are available for making both products. Products A requires 4 hours per unit and product B requires 8 hours per unit. Also available are 4,000 person-hours for painting the products. The respective number of person-hours required for painting products A and B are 4 and 6 respectively. The company has orders for 100 units of product A. Product A contributes $3.40 to company profits while product B contributes $4.60 to company profits.

1. State the objective function and the constraints related to the above conditions.4 marks
2. Graph the constraintsto this linear programming problem,determine the points that make the feasible regionand theoptimal number of A and B.(show your calculations).5 marks
3. Use Excel Solver to find the solutionto this liner programming problem andprovide a copy of the Excel solution with your answer. 1 mark