Consider the following linear programming problem:
Maximize profit = 30X1 + 10X2
Subject to: 3X1 + X2 ≤ 300
X1 + X2 ≤ 200
X1 ≤ 100
X2 ≥ 50
X1 – X2 ≤ 0
X1, X2 ≥ 0
(a) Solve the problem graphically.
(b) Is there more than one optimal solution? Explain.