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a firm with total revenue TR= 100Q-Q^2 and TC = (1/3)Q^3 - 7Q^2 + 111Q + 50 Find the profit maximizing level of output Q

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a firm with total revenue TR= 100Q-Q^2 and TC = (1/3)Q^3 - 7Q^2 + 111Q + 50
Find the profit maximizing level of output Q
Answered Same Day Dec 21, 2021

Solution

David answered on Dec 21 2021
127 Votes
A firm with total revenue TR= 100Q-Q^2 and TC = (1/3)Q^3 - 7Q^2 + 111Q + 50
Find the profit maximizing level of output Q
Answer:
TR= 100Q-Q^2
MR = dTR/dQ = 100 – 2Q
TC = (1/3)Q^3 - 7Q^2 + 111Q + 50
MC = dTC/dQ = Q^2 – 14Q + 111
At the profit maximization, MR = MC i.e.
100 – 2Q = Q^2...
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