The total revenue curve of a firm is R(q) = 40q − 12q2 and its average cost A(q) = 1/30 q2 − 12.85q + 20 + 400/q , ,where q is the firms output. Derive expressions for the firm's: (i) total cost function (ii) total profit function

Managerial Economics: A Problem Solving Approach
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Author:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
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The total revenue curve of a firm is R(q) = 40q − 12q2 and its
average cost A(q) = 1/30 q2 − 12.85q + 20 + 400/q , ,where q is the firms output.

Derive expressions for the firm's:

(i) total cost function (ii) total profit function

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