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A monopoly has a total cost function T C = 5 0 + Q + 2 Q 2 , where Q is the quantity of

A monopoly has a total cost function

T C = 50 + Q + 2 Q^{2},

where

Q

is the quantity of the product. If marginal revenue is constant at

15,

what quantity should the firm produce to maximize profit? Detail your answer. Do not even think of using chatGPT.

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