Homework 2.7

question 8

The total cost (in dollars) of manufacturing x auto body frames is C(x) = 40,000 + 300x. (A) Find the average cost per unit if 50 frames are produced. (B) Find the marginal average cost at a production level of 50 units. (C) Use the results from parts (A) and (B) to estimate the average cost per frame if 51 frames are produced. E) (A) If 50 frames are produced, the average cost is $|:| per frame. The total cost (in dollars) of manufacturing x auto body frames is C(x) = 40,000 + 700x. (A) Find the average cost per unit if 250 frames are produced. (B) Find the marginal average cost at a production level of 250 units. (C) Use the results from parts (A) and (B) to estimate the average cost per frame if 251 frames are produced. E> (A) If 250 frames are produced, the average cost is $|:| per frame. The price p (in dollars) and the demand x for a particular clock radio are related by the equation x = 5000 - 50p. (A) Express the price p in terms of the demand x, and nd the domain of this function. (B) Find the revenue R(x) from the sale of x clock radios. What is the domain of R? (C) Find the marginal revenue at a production level of 2900 clock radios. (D) Interpret R'(3600) = - 44.00. E> (A) p=p(x)= D