Question 1

The total cost (in dollars) of manufacturing x auto body frames is C(x) = 70,000 + 200x. (A) Find the average cost per unit if 80 frames are produced. (B) Find the marginal average cost at a production level of 80 units. (C) Use the results from parts (A) and (B) to estimate the average cost per frame if 81 frames are produced. The total cost (in dollars) of producing x food processors is C(x) = 2000 + 80x - 0.2x2. (A) Find the exact cost of producing the 51st food processor. (B) Use the marginal cost to approximate the cost of producing the 51st food processor. E) The total cost (in dollars) of manufacturing x auto body frames is (30:) = 80,000 + 400x. (A) Find the average cost per unit if 200 frames are produced. (B) Find the marginal average cost at a production level of 200 units. (C) Use the results from parts (A) and (B) to estimate the average cost per frame if 201 frames are produced. The prot (in dollars) from the sale ofx lawn mowers is P(x) = 60x - 0.06x2 - 450. (A) Find the average profit per mower if 30 mowers are produced. (B) Find the marginal average profit at a production level of 30 mowers, and interpret the results. (C) Use the results from parts (A) and (B) to estimate the average profit per mower if 31 mowers are produced