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The monthly demand function for x units of a product sold by a monopoly is p...

The monthly demand function for x units of a product sold by a monopoly is

p = 6,100 − 1/2x2  and its average cost is C = 3,030 + 2x dollars. Production is limited to 100 units.

a) Find the profit function, P(x), in dollars.

b) Find the number of units that maximizes profits. (Round your answer to the nearest whole number.)

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

Math   Calculus   
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