Revenues: Total, Marginal, and Average


Definitions:

  • Revenue: money going to a firm from selling goods: product of price X quantity sold
  • Total revenue (TR): the price of the good times the amount sold: P X Q=TR
  • Marginal revenue (MR): the addition to total revenue: MR=TR1-TR; the revenue gained from selling one more unit of a good
  • Average revenue (AR): the total revenue divided by the quantity sold: AR=TR/Q


Assumptions:

  • TR for a monopoly firm: the firm can set any price and the pattern of demand will determine output
  • TR for a perfectly competitive firm: the firm is a price taker, so they have to accept the price
  • MR for a competitive firm: P=MR
  • MR for a monopoly firm: MR is always lower than AR (the price) and it is decreasing along with the demand curve
  • AR for a perfectly competitive firm: P=AR
  • AR for a monopoly firm: P=AR=D; the demand is equal to the average revenue curve; in the long-run


Diagrams:


tr_price_setter.gif
Total Revenue





Perfect_competition_in_the_short_run.PNG
Marginal Revenue: Perfect Competition; Short-Run
mr_crv_mp.gif
Marginal Revenue- Monopoly







pc_lr_eq.gif
Average Revenue: Perfect Competition
monopoly.jpg
Average Revenue: Monopoly






Example:

  • The TR in a monopoly firm: a firm can set the price at $10, for example so the peak on the graph above would be $2,000
  • The TR in a PC firm: the quantity changes as the price changes, which is through a market price that the firm is not involved in
  • MR in a PC firm: the marginal revenue is the price that is the demand for the good so when the P=$10, then MR also equals $10
  • MR in a monopoly firm: if the firm begins at a price of $20 and is moving towards $15, the TR goes from $0 to $15 and the MR= $15
  • AR in a PC firm: it is equal to the P and the MR, so with the same above example, if the P=$10, then AR=$10
  • AR in a monopoly firm: it follows the demand curve, so if the price is $10 on the demand curve then AR=$10