Consider the following linear programming problem:
                 Maximize Profit   30X + 50Y
                 Subjectto             4X +  5Y = 40,000
                                                             X ≥  3,000
                                                             Y ≥  4,000
                                                  X ≥ 0 and Y ≥ 0
- Use a graph to show each constraint and to identifyfeasible region.
- Identify the optimal solution point on your graph. What are thevalues of X and Y at the optimal solution?
- From your graph, what is the optimal value of the objectivefunction?
