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Economics · Ch 4 — Theory of Production

Revenue Concepts

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Revenue Concepts

Revenue concepts are the mirror image of cost concepts, describing what a firm earns rather than what it spends, and are essential to determine a firm's profit-maximising output (marginal revenue = marginal cost, covered under Theory of Value).

The three revenue measures

  • Total Revenue (TR) — total receipts from the sale of output: TR=P×QTR = P \times Q, where PP is price per unit and QQ is quantity sold.
  • Average Revenue (AR) — revenue per unit sold: AR=TRQ=PAR = \dfrac{TR}{Q} = P. AR is therefore always identical to the price the firm charges — this is exactly why the demand curve facing a firm is its AR curve.
  • Marginal Revenue (MR) — the addition to total revenue from selling one more unit: MRn=TRn−TRn−1MR_n = TR_n - TR_{n-1}.

AR and MR under different market forms

  • Perfect competition: the firm is a price taker facing a horizontal demand curve at the market price. Since every unit is sold at the same price, AR=MR=PAR = MR = P, and both are shown as a single horizontal straight line.
  • Imperfect competition (monopoly, monopolistic competition): the firm faces a downward-sloping demand curve — to sell more, it must lower the price on all units sold, not just the extra one. As a result, MR falls faster than AR (price), and beyond the first unit, MR<ARMR < AR always. MR can even turn negative while AR (price) stays positive, once cutting the price to sell one more unit reduces total revenue overall. …