Question 6

What is the relation between market price and marginal revenue of a price-taking firm?

Answer

Marginal revenue is defined as the change in the total revenue that occurs due to the sale of one more unit of output. It is calculated as
MRn= TRn – TRn-1
Where
MRn = Marginal revenue due to nth unit of output
TRn = Total revenue due to n units of output
TRn-1 = Total revenue due to n units of output
TRn-1 = Total revenue due to (n-1) units of output
Suppose that the market price is P
MRn = TRn - TRn-1
= PQn – P (Qn – 1)
MR = PQn – PQn+P
MR = P
Thus for a perfect competitive firm marginal revenue is equal to the market price per unit of output.

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