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A competitive firm sells its product at a price of $0.10 per unit. Its total and marginal cost functions are TC = 5 - 0.05Q

A competitive firm sells its product at a price of $0.10 per unit. Its total and marginal cost functions are

TC = 5 - 0.05Q + 0.001Q2

MC = -0.05 + 0.002Q

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

What is the output rate that maximizes profit?

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