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Suppose a firm's total cost curve is TC = 5 Q 2 + 6 Q + 125. a. Find the firm's marginal cost, average total

Suppose a firm's total cost curve isTC= 5Q²+ 6Q+ 125.

a. Find the firm's marginal cost, average total cost, and average variable cost.

b. Use calculus to find the output level that minimizes average total cost.

c. Show thatATC=MCat this output level.

d. Show that this is the minimumATCby examining the second derivative.10

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