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A hardware shop has its total revenue (TR) and total cost (TC) functions estimated as TR = 600Q - 6Q ^ 2 and TC= 800

A hardware shop has its total revenue (TR) and total cost (TC) functions estimated as TR = 600Q - 6Q ^ 2 and TC= 800 + 1000Q + 4Q2 respectively. Find the quantity of output (Q) that maximizes the firm's profits.

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