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Economics · Ch 4 — Cost and Revenue Analysis

Revenue Concepts: Total, Average and Marginal Revenue

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Revenue Concepts: Total, Average and Marginal Revenue

Just as cost concepts describe what a firm gives up to produce, revenue concepts describe what it receives from selling its output.

Total Revenue (TR) is the total sale proceeds a firm earns from selling a given quantity of output at a given price:

TR=P×QTR = P \times Q

Average Revenue (AR) is the revenue earned per unit sold:

AR=TRQ=P×QQ=PAR = \dfrac{TR}{Q} = \dfrac{P \times Q}{Q} = P

AR therefore always equals the PRICE of the good — dividing total revenue by the number of units sold simply gives back the price at which those units were sold. This is exactly why a firm's AR curve is identical to the demand curve it faces: both show, at every quantity, the price at which that quantity can be sold.

Marginal Revenue (MR) is the addition to total revenue from selling one more unit:

MR=ΔTRΔQMR = \dfrac{\Delta TR}{\Delta Q}

The following schedule illustrates TR, AR and MR for a firm selling at a constant price of Rs. 20 per unit, whatever the quantity sold (as under perfect competition, covered in the next section):

QPrice (P)TR = P × QAR = TR/QMR = ΔTR/ΔQ
120202020
220402020
320602020
420802020
Definition 9Total Revenue (TR)

The total sale proceeds earned by a firm, $TR = P \ …

Definition 10Average Revenue (AR)

Revenue per unit sold, AR=TR/Q=PAR = TR/Q = P — always equal to price, and identical to the firm …

Definition 11Marginal Revenue (MR)

The addition to total revenue from selling one more unit, $MR = \Delta …