# Question

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.

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.

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