Provide the graphical solution for the linear programming problem below:
Min: 80X + 100Y
Subject to:
17X + 14Y ≤ 1190 …. (1)
10X ≥ 150 ….. (2)
8X ≤ 320 ….. (3)
7X + 5Y ≤ 175 ….. (4)
7X - 11Y ≤ 70 ….. (5)
-5X + 6Y ≤ 150 X, Y ≥ 0 ….. (6)
a) Identify each constraint (1, 2, 3, 4, 5, and 6) and the objective function line on your graph.
b) Shade the feasible region.
c) What is the optimal solution?
d) What is the associated objective function value?