A firm's demand and total cost function are given by the expression: P = 20 - Q/2         (1) TC = 0.5Q2 + 36  (2) Where P is price per unit in £ TC = total cost in £ Q is quantity demanded and produced. Find the profit-maximising level of output using the profit function and calculate how much profit is made at this output level.

Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)
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Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
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ChapterB: Differential Calculus Techniques In Management
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A firm's demand and total cost function are given by the expression:

P = 20 - Q/2         (1)

TC = 0.5Q+ 36  (2)

Where P is price per unit in £

TC = total cost in £

Q is quantity demanded and produced.

Find the profit-maximising level of output using the profit function and calculate how much profit is made at this output level.

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