Question: LP Problem: MAX: 7X 1 + 5X 2 Subject to: 5 X 1 + 7 X 2 70 X 1 8 X 2 6 X

LP Problem:

MAX: 7X₁ + 5X₂

Subject to: 5 X₁ + 7 X₂ 70

X₁ 8

X₂ 6

X₁, X₂ 0

On a piece of paper, graphically sketch the feasible region bounded by the constraints and identify the corner points (there are five) of the feasible region. On the graph, it may help to place X₁ on the horizontal axis and X₂ on the vertical axis. For each corner point, determine the value of the objective function at that corner point.

What is the highest objective function value of the five corner points?

What is the second highest objective function value of the five corner points?

What is the third highest objective function value of the five corner points?

What is the fourth highest objective function value of the five corner points?

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