Why is MR below the price? While the formula isn’t dicult, students often have trouble
understanding this concept intuitively. If a rm sells output for $2, why aren’t they getting
$2 of revenue for each unit of output they sell so that marginal revenue is $2? Remind
students that we are assuming that the monopoly charges the same price to all
consumers. As in the table above, if on any given day, every consumer is paying $2 for
output, 40 units are demanded and total revenue is $80. If the monopoly decides it wants
to sell more than 40 units the next day, it must lower the price to do so. The monopoly is
NOT simply lowering the price to $1 for units 41 through 60. Rather, the monopoly lowers
the price on ALL units it will sell the next day. As a result, units 1 through 40 that
customers used to pay $2 for will now be sold for only $1. That’s a loss of $1 on each of
those 40 units for a revenue loss of $40. Part of that revenue loss is oEset by the sales of
units 41 through 60. Since the rm gains $1 in revenue from the sale of each of those
units, there is a revenue gain of $20. A revenue loss of $40 (from lowering prices)
compared with a revenue gain of $20 (from selling more output) generates a net revenue
loss of $20, and (when divided by the change in output from 40 to 60) a marginal revenue
of negative $1. For visual learners, showing these areas of revenue gain and revenue loss
should also help (similar to Figure 13.2 in the text).
Marginal Revenue and Elasticity
If demand is elastic, the MR is positive. A decrease in the price will result in a
proportionately greater increase in quantity, generating an increase in revenue.
If demand is unit elastic (as it is at the midpoint of a linear demand curve), the MR
equals zero. A change in the price will result in a proportionate change in quantity,
generating no change in revenue. If further increase in revenue is not possible from
changing price, this is also the point where revenue is maximized.
If demand is inelastic, MR is negative. A decrease in price will result in a
proportionately smaller increase in quantity, generating a decrease in revenue.
A single-price monopoly never produces in the inelastic part of its demand because
if it did, the rm could increase its total prot by decreasing its output, which would
raise its total revenue and decrease its total cost.
But if a monopoly is the only producer so there are no substitutes, isn’t demand
always inelastic? This question is common. As the only producer of a good, a monopoly
does have some control over the price it charges for output, and students understand that
conceptually. For example, when you go to the movie theater, you know you’re likely to pay
$5 or more for a tub of popcorn, even though you could buy the same amount of popcorn
at the grocery store for $1 or less. Because you’re stuck at the movie theater with
whatever options they oEer, consumers end up paying a higher price. In other words,
because there are fewer substitutes at the theater, demand for popcorn is less elastic.
However, that fact does NOT mean that the demand for popcorn at a movie theater
universally has an elasticity of demand that’s less than one. Even if demand for a
monopoly’s product is fairly inelastic, the demand still has some ranges where elasticity is
greater than one (anywhere above the midpoint on a linear demand curve, for example).
Price and Output Decision
To maximize its prot, a monopoly produces
the level of output where MR = MC. The
monopoly then uses its demand curve to set
the price at the highest price for which it will
be able to sell the quantity it produces. In
the gure, which uses the demand and MR