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A firms total revenue and total cost functions are given by TR = 0.5Q2 + 24Q TC = QQ + 100. Sketch these graphs on

A firm’s total revenue and total cost functions are given by TR = −0.5Q2 + 24Q TC = Q√Q + 100.

Sketch these graphs on the same diagram in the range 0 ≤ Q ≤ 48. Hence estimate the values of Q for which the firm:

(a) breaks even 

(b) maximizes profit

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