Question

The total cost (in dollars) of manufacturing x auto body frames is C(x) = 30,000 + 200x. (A) Find the average cost per unit if 100 frames are produced. (B) Find the marginal average cost at a production level of 100 units. (C) Use the results from parts (A) and (B) to estimate the average cost per frame if 101 frames are produced.

          The total cost (in dollars) of manufacturing x auto body frames is C(x) = 30,000 + 200x.

(A) Find the average cost per unit if 100 frames are produced.
(B) Find the marginal average cost at a production level of 100 units.
(C) Use the results from parts (A) and (B) to estimate the average cost per frame if 101 frames are produced.

The total cost (in dollars) of manufacturing x auto body frames is C(x) = 30,000 + 200x.

(A) Find the average cost per unit if 100 frames are produced.
(B) Find the marginal average cost at a production level of 100 units.
(C) Use the results from parts (A) and (B) to estimate the average cost per frame if 101 frames are produced.

Added by Kelly D.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Eduard Sanchez

05/23/2023

Step 1

We can do this by plugging x = 100 into the cost function: C(100) = 30,000 + 200(100) = 30,000 + 20,000 = 50,000 Now, we can find the average cost per unit by dividing the total cost by the number of units produced: Average cost per unit = \frac{C(100)}{100} = Show more…

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The total cost (in dollars) of manufacturing x auto body frames is C(x) = 30,000 + 200x. (A) Find the average cost per unit if 100 frames are produced. (B) Find the marginal average cost at a production level of 100 units. (C) Use the results from parts (A) and (B) to estimate the average cost per frame if 101 frames are produced.