To find: the maximum number of each monitor the plant should make to maximize profits.
Answer to Problem 21E
4 small monitor and 5 large monitors
Explanation of Solution
Given information:
The table of manufacturing analysis is shown below.
Machine | Hours need to make | Total hours available | |
Small monitor | Large monitor | ||
A | 1 | 2 | 16 |
B | 1 | 1 | 9 |
C | 1 | 4 | 21 |
The profit on each monitor is $40.
Calculation:
Let x and y be the small and large monitors respectively; and the maximum profit function be
From the given data, the set of inequalities and the function deduced are shown below.
The graph for the given inequalities is as follows:
The vertices of the
The maximum value is at two points
Chapter 2 Solutions
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
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