Pearson Algebra 2 Common Core, 2011
PA
Pearson Algebra 2 Common Core, 2011 View details
4. Linear Programming
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Exercise 24 Page 162

We have been given a feasible region with an objective function

We will substitute the vertices into the objective function and determine the maximum value of Let's begin by the point
The value of at is We can find the value of for the other vertices in the same way.
Vertex Objective Function

At the points and the value of is which is maximum. This means that the objective function passes through the points and Therefore, the points on the segment yield the maximum profit. Let's choose two more point on the segment.

Let's check the points!

Vertex Objective Function

The points and also yield the maximum profit. As a result, we have four points that yield the maximum profit.