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Question1: a. Find the first, second and third derivatives of the following total cost function: TC(Q) = Q^3 - 8Q^2 + 500Q + 180 b. Find the average cost, AC = TC/Q, and its minimum. [Hint: Use this link to find the minimum value] c. Find the average variable cost, AVC = TVC/Q, and its minimum. d. Show that the marginal cost, MC, curve passes through the minimum of the AC and the AVC curves.

          Question1:
a. Find the first, second and third derivatives of the following total cost function:
TC(Q) = Q^3 - 8Q^2 + 500Q + 180
b. Find the average cost, AC = TC/Q, and its minimum. [Hint: Use this link to find the minimum value]
c. Find the average variable cost, AVC = TVC/Q, and its minimum.
d. Show that the marginal cost, MC, curve passes through the minimum of the AC and the AVC curves.

Question1:
a. Find the first, second and third derivatives of the following total cost function:
TC(Q) = Q^3 - 8Q^2 + 500Q + 180
b. Find the average cost, AC = TC/Q, and its minimum. [Hint: Use this link to find the minimum value]
c. Find the average variable cost, AVC = TVC/Q, and its minimum.
d. Show that the marginal cost, MC, curve passes through the minimum of the AC and the AVC curves.

Added by Adriana R.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Shaiju T

04/26/2022

Step 1

### Part a: Finding the derivatives of the total cost function ** Show more…

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a. Find the first, second, and third derivatives of the following total cost function: TC(Q) = Q^3 - 8Q^2 + 500Q + 180 b. Find the average cost, AC = TC/Q, and its minimum: [Hint: Use this link to find the minimum value] c. Find the average variable cost, AVC = TVC/Q, and its minimum: d. Show that the marginal cost, MC, curve passes through the minimum of the AC and the AVC curves: