PRECALCULUS:GRAPHICAL,...-NASTA ED.
10th Edition
ISBN: 9780134672090
Author: Demana
Publisher: PEARSON
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Expert Solution & Answer
Chapter 7.4, Problem 40E
Solution
To calculate: The number of each unit, which should be produced to maximize profit.
The unit form the product A and B are 26667 and 334.
Given Information:
A manufacturer wants to maximize the profit for two products. Product A yields a profit of
Calculation:
Consider the given information,
Suppose that x the number of Product A produced and y the number of Product B produced.
Write the constraints as a system of inequalities using the given information.
Write the objective function by using the given information.
Use the graphing calculator to draw the inequality and find the corner points.
The corner points are
Now, find the value of the objective function on corner points.
Substitute 0 for x and 3000 for y in the objective function.
Substitute
Substitute 0 for x and 0 for y in the objective function.
The profit is maximized by producing 26667 units of product A and 334 units of product B and the profit is $6667.
As the feasible region is bounded and has
Therefore, the unit form the product A and B are 26667 and 334.
Chapter 7 Solutions
PRECALCULUS:GRAPHICAL,...-NASTA ED.
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