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A manufacturer of bicycle helmets estimates that the monthly cost to produce q helmets is ?(?)...

A manufacturer of bicycle helmets estimates that the monthly cost to produce q helmets is ?(?) = 6200 + 7.3? + 0.002?^2 dollars and the expected revenue, in dollars, is ?(?) = 31? − 0.003?^2. Find the number of helmets that should be produced each month in order to maximize profit, and find the maximum profit.

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