Find the optimal profits.
Answer to Problem 92RE
The optimal profit is
Explanation of Solution
Given:
The objective function is given as:
Let x be the number of model A bicycles produced and y be the number of model B bicycles produced. Since to optimize the profit, the objective function is given as:
The constraints can be written as:
Additionally the models manufactured cannot be negative, so
The graph for the above constraints can be drawn as shown below:
At the five vertices of the region formed by the constraints the objective function has the following values:
At
At
At
At
At
So the optimal profit is
Chapter 7 Solutions
EBK PRECALCULUS W/LIMITS
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