Consider the following linear programming problem:
Maximize Profit 4X + 5Y
Subject to X + 2Y ≤ 6
3X + 2Y ≤ 12
X≥ 0 and Y≥0
a. Use a graph to show each constraint, the feasible region, and optimal solution.
b. Use the Algebraic Method to solve the problem. What is the optimal solution? Discuss the relationships in your final equations.
c. Develop a spreadsheet and use Solver to find the solution.
d. On both your Limits Report and your Sensitivity Report provide interpretations for the various values that are shown.