A perfectly competitive firm sells its product at a price of$0.10 per unit. Its total and marginal cost functions are: TC= 5 - 0.SQ + 0.001Q2 MC= -0.5 + 0.002Q, where TC is total cost($) and Q is output rate (units per time period). Solve for the profit maximizing quantity for this firm. My Question:  in order to determine just profit maximizing quanitity, do we make MR=MC so the equation would be 0.10 = -0.5 + 0.002Q.  Solve for Q then plug that number into the Q in the total cost equation to get the profit maximizing quantity?

ENGR.ECONOMIC ANALYSIS
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ISBN:9780190931919
Author:NEWNAN
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Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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A perfectly competitive firm sells its product at a price of$0.10 per unit. Its total and marginal cost functions are:

TC= 5 - 0.SQ + 0.001Q2 MC= -0.5 + 0.002Q,

where TC is total cost($) and Q is output rate (units per time period).

Solve for the profit maximizing quantity for this firm.

My Question:  in order to determine just profit maximizing quanitity, do we make MR=MC so the equation would be 0.10 = -0.5 + 0.002Q.  Solve for Q then plug that number into the Q in the total cost equation to get the profit maximizing quantity?

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