x=5, y=(1/5)x + 7, x=0, y=0. Find all vertices.

Question

 Evaluate the objective function at each vertex to find the maximum value: P = 6x + 7y - 2. For your answer, type the maximum value. Do NOT type the point.

Answer 1

Hi Caleb, the given constraints creates three points to evaluate. The points are:

(0, 0)
(5, 0)
(5, 1)

Substitute into the function:

(0, 0)

P = 0 + 0 - 2 = -2

(5, 0)

P = 30 + 0 - 2 = 28

(5, 1)

P = 30 + 7 - 2 = 35

The maximum value is 35.

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