A manufacturing company wishes to determine how many of two products they should produce in order to maximize total profit. The labor and material requirements and the contribution to profit for each of the three products are as follows:

Resources Product 1 Product 2 Availability

1. Develop a linear programming model for this problem.
2. Demonstrate the feasible area on a graph.
3. Find the optimal solution by using the algebraic method.
4. Find the optimal solution by using solver.
5. Interpret your sensitivity report.

Resources Labor (hr/unit) Materials (lb/unit) Profit (S/unit) Product 1 5 3 Product 2 2 01 5 Availability 240 hrs 400 lbs