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The monthly demand function for a product sold by a monopoly is p = 2200 −...

The monthly demand function for a product sold by a monopoly is p = 2200 − (1/3)x^2 dollars, and the average cost is C = 1000 + 10x + x^2 dollars. Production is limited to 1000 units and x is in hundreds of units.

(a) Find the quantity (in hundreds of units) that will give maximum profit.

(b) Find the maximum profit. (Round your answer to the nearest cent.)

Math   Calculus   
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