Find optimal revenue generated by a student working as hairdresser with given
maximum time he can work and cost of the work
Answer to Problem 91RE
The optimal revenue for the student is
Explanation of Solution
Given:
The objective function,
Let x be the number of haircuts and y be the number of permanents the student is undertaking in one week.
To find the maximum value of the objective function,
The constraint is that he can work for only maximum of 24hours a week. Additionally the number of haircuts and permanents cannot be negative. So the constraints are:
The graph of the above constraint can be sketched as below:
At the three vertices of the region formed by the constraints the objective function has the following values:
At
At
At
So, the optimal revenue for the student is
Chapter 7 Solutions
EBK PRECALCULUS W/LIMITS
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