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Q.Write a short note on profit maximisation of a firm under the following conditions :

a) P = MC
b) MC must be non decreasing at q0.
Karnataka PUCKarnataka 2nd PUC Commerce Board 2022Subjective· 4mImportance★★★★★
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Profit is maximised where P = MC and MC is rising (non-decreasing) at that output q₀.

For a firm in perfect competition the market price P is given (P = MR). Its profit-maximising output q₀ must satisfy two conditions:

a) P = MC: Profit changes as output changes by the difference between the revenue from an extra unit (price, since MR = P) and its cost (marginal cost). If P > MC, producing one more unit adds more to revenue than to cost, so the firm should expand. If P < MC, the last unit costs more than it earns, so the firm should cut back. Profit is therefore highest where P = MC — the extra revenue from the last unit exactly equals its extra cost.

b) MC must be non-decreasing at q₀: P = MC can occur on both the falling and rising portions of the MC curve. On the falling part it gives minimum (not maximum) profit, because producing beyond it would still add to profit. Profit is truly maximised only where MC is rising (non-decreasing) as output increases past q₀ — so that beyond q₀ marginal cost exceeds price and further production reduces profit.

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