A manufacturing firm produces two products. These products generate profits of $140 and $70 per unit respectively. Each product must go through an assembly process and a finishing process. Product 1 takes 5 hours per unit to assemble and 10 hours per unit to finish. While product 2 takes 10 hours to assemble and 6 hours to finish per unit. The firm has 80 assembly hours and 90 finishing hours available. The products are then transferred to a warehouse, which has space for a total of 20 units to store. How much each product be produced to maximize total profit?

1. The manufacturing firm can get maximum profit of:
2. The optimal solution occurs at:
3. The binding constraints are:
4. The redundant constraints are:
5. if objective function is changed to 20 X1+ 40 X2, the optimal solution will be:

a. same as found earlier
b. at multiple points (alternate optimum)
c. at one point but different than found earlier
d. cannot be determined