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 .
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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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