
To solve: The given linear programming problem.

Answer to Problem 12AYU
Solution:
The minimum value of is 8, and it occurs at the point .
Explanation of Solution
Given:
Subject to
Calculation:
The graph of this system (the set of feasible points) is shown as shaded region in figure below. The corner points have also been plotted.
The below table lists the corner points and the corresponding values of objective function.
Corner points are | Value of objective function |
9 | |
32 | |
24 | |
8 |
From the table, the minimum value of is 8, and it occurs at the point .
Chapter 11 Solutions
Precalculus
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