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Use calculus to find the quantity q that maximizes profit

Given the following equations for a firm:

Demand: P = 50 -2Q

Total Cost: TC = 60 + 10Q +Q²

a. Use calculus to find the quantity (Q*) that maximizes profit.

b. At the Q* derived in part (a), how much is profit?

c. Now "prove" that you've maximized profit by calculating profit at Q*+1 and Q*-1

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Business Economics: Use calculus to find the quantity q that maximizes profit

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