Saturday, December 11, 2010

Business Revenues

The meaning of revenue

Revenue (or turnover) is the income generated from the sale of output in product markets. There are two main revenue concepts to grasp at this stage:

  • Average Revenue (AR) = Price per unit = total revenue / output
  • Marginal Revenue (MR) = the change in revenue from selling one extra unit of output

The table below shows the demand for a product where demand varies inversely with the price.

Price per unit
(average revenue)

Quantity Demanded
(Qd)

Total Revenue
(TR)

Marginal Revenue
(MR)

£s

units

£s

£s

400

220

88000

370

340

125800

315

340

460

156400

255

310

580

179800

195

280

700

196000

135

250

820

205000

75

220

940

206800

15

190

1060

201400

-45

Average and marginal revenue – the important relationships

In our example in the table above, as price per unit falls, demand expands and so too does total revenue, although because the demand curve is downward sloping, the average revenue falls as more units are sold. This causes marginal revenue to decline. Eventually once marginal revenue becomes negative, a further fall in price (e.g. from £220 to £190) causes total revenue to fall.

Because the price per unit is declining, total revenue is rising at a decreasing rate and will eventually reach a maximum (see the next paragraph).

Elasticity of demand and total revenue

When a firm faces a perfectly elastic demand curve, then average revenue = marginal revenue (i.e. extra units of output can all be sold at the ruling market price). However, most businesses face a downward sloping demand curve! And because the price per unit must be cut to sell extra units, therefore MR lies below AR. In fact he MR curve will fall at twice the rate of the AR curve. You don’t have to prove this for the exams – but it is worth remembering that the marginal revenue curve has twice the slope of the AR curve!

The total revenue for any business is maximised when marginal revenue (MR) = zero. Once MR becomes negative, total revenue falls if extra units are sold. This is shown in the next diagram.

Elasticity of demand and total revenue

Total revenue is shown by the area underneath the firm’s demand curve (average revenue curve).


Total revenue is shown by the area underneath the firm’s demand curve (average revenue curve).

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