Question: The monthly demand function for a product sold by a monopoly is p=1960-1/3 x2 dollars, and the average cost is C1000+2x+x2 dollars. Production is limited

The monthly demand function for a product sold by a monopoly is p=1960-1/3 x2 dollars, and the average cost is C̅1000+2x+x2 dollars. Production is limited to 1000 units and x is in hundreds of units.
(a) Find the quantity that will give maximum profit.
(b) Find the maximum profit.

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