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You are given the following: Cost = 3.0q2 + 209 + F, Marginal Cost = c = 6.0q + 20, and p = 100 – 19, where q = output and F

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Answer #1

(a) Profit is maximized when MR = MC.

TR = pq = 100q - q2

MR = dTR/dq = 100 - 2q

100 - 2q = 6q + 20

8q = 80

q = 10

(b) p = 100 - 10 = 90.00

(c) Profit = TR - TC

TR = 90 x 10 = 900

TC = 3 x 10 x 10 + 20 x 10 + 600 = 300 + 200 + 600 = 1100

Profit = 900 - 1100 = - 200.00

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