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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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