Let p = 25 - 0.01x and C(x) = 2x + 9,000 0 x 2,500

Question:

Let

p = 25 - 0.01x and C(x) = 2x + 9,000
0 ≤ x ≤ 2,500

be the price–demand equation and cost function, respectively, for the manufacture of umbrellas.

(A) Find the marginal cost, average cost, and marginal average cost functions.

(B) Express the revenue in terms of x, and find the marginal revenue, average revenue, and marginal average revenue functions.

(D) Find the break-even point(s).

(E) Evaluate the marginal profit at x = 1,000, 1,150, and 1,400, and interpret the results.

(F) Graph R = R(x) and C = C(x) on the same coordinate system, and locate regions of profit and loss.

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p25001x Cx2x 9000 A Marginal cost Cx 2 Average cost C x Cx X Marginal av...View the full answer

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