company estimates that its production costs, in dollars, for x items of a product is:         C(x) = 85000 + 26x + 0.002x2  and the price (or demand) function is:           p(x) = 150 - 0.01x a) Find the marginal cost at a production level of 100 items. b) Find the marginal revenue function. c) Find the marginal profit function. d) How many items must be sold for profit to be maximized? e) Find the revenue when the profit is a maximized.

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A company estimates that its production costs, in dollars, for x items of a product is:

        C(x) = 85000 + 26x + 0.002x2 

and the price (or demand) function is:

          p(x) = 150 - 0.01x

a) Find the marginal cost at a production level of 100 items.

b) Find the marginal revenue function.

c) Find the marginal profit function.

d) How many items must be sold for profit to be maximized?

e) Find the revenue when the profit is a maximized.

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