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Explain the relationship between average revenue and marginal revenue under perfect competition?

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Relationship between MR and AR under Perfect competition.

Under Perfect Competition the relationship between marginal revenue (MR) and average revenue (AR) can be studied as under-

Under perfect competition price of commodity remain constant therefore average revenue also remain constant as it is always equal to price.

AR =P…………….. (1)

Since price is constant therefore revenue received by selling an additional unit of commodity i.e. marginal revenue will also equal to price which is constant or same.

MR = P…………….. (2) 

From equation 1 and 2

AR =P=MR

AR =MR

Thus under perfect competition marginal revenue and average revenue are equal and constant. Therefore AR-MR curve is parallel to X-axis.

We can explain it with the help of a schedule and diagram:

Units of commodity sold Price (P) (Rs) Price (P) (Rs) Total Revenue TR=P×Q (Rs) Marginal Revenue MR=TRn - TRn-1 Average Revenue
AR =TR/Q
(Rs)
1 10 10 10 10
2 10 20 10 10
3 10 30 10 10
4 10 40 10 10

In above diagram AR/MR line shows average revenue –marginal revenue curve.

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