Pre-Calculus, 9th edition
27

 PAGE: 783 SET: Exercises PROBLEM: 27

Consider is the number of racing skates manufactured and is the number of figure skates manufactured.

The profit function is .

Hence is the objective function to be maximized.

The constraints are :

The positive number of  skates must be manufactured then , .

Only hours are available for fabrication then .

Only hours are available for finishing then .

Graph :

Graph the constraints.

Observe the graph the corner points are , , and .

The function is .

 Point Function Value

The maximum profit is when racing skates and figure skates are produced.

The maximum profit is when racing skates and figure skates are produced.

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