2. a. Lucy’s prot-maximizing output is 2 plates an hour. Lucy’s maximizes its prot by
producing the quantity at which marginal revenue equals marginal cost. In perfect
competition, marginal revenue equals price, which is $7.50 a plate. Marginal cost is
the change in total cost when output is increased by 1 plate an hour. The marginal
cost of increasing output from 1 to 2 plates an hour is $6 ($26 minus $20). The
marginal cost of increasing output from 2 to 3 plates an hour is $9 ($35 minus $26).
So the marginal cost of the second plate is half-way between $6 and $9, which is
$7.50. Marginal cost equals marginal revenue when Lucy produces 2 plates an hour.
b. Lucy’s shutdown point is at a price of $10 a plate. The shutdown point is the price
that equals minimum average variable cost. To calculate total variable cost, subtract
total xed cost ($5, which is total cost at zero output) from total cost. Average
variable cost equals total variable cost divided by the quantity produced. For
example, the average variable cost of producing 3 plates is $10 a plate. Average
variable cost is a minimum when marginal cost equals average variable cost. The
marginal cost of producing 3 plates is $10. So the shutdown point is a price of $10 a
plate.
c. Lucy will leave the industry if in the long run the price is less than $11 a plate. Lucy’s
Lasagna will leave the industry if it incurs an economic loss in the long run. To incur
an economic loss, the price will have to be below minimum average total cost.
Average total cost equals total cost divided by the quantity produced. For example,
the average total cost of producing 2 plates is $13 a plate. Average total cost is a
minimum when it equals marginal cost. The average total cost of producing 3 plates
is $11.67, and the average total cost of producing 4 plates is $11.50. Marginal cost
when Lucy’s produces 3 plates is $10 and marginal cost when Lucy’s produces 4
plates is $12. At 3 plates, marginal cost is less than average total cost; at 4 plates,
marginal cost exceeds average total cost. So minimum average total cost occurs
between 3 and 4 plates—$11 at 3.5 plates an hour.
d. Firms with costs identical to Lucy’s will enter at any price above $11 a plate. Firms
will enter an industry when rms currently in the industry are making economic
prot. Firms with costs identical to Lucy’s will make economic prot when the price
exceeds minimum average total cost, which is $11 a plate.
e. The price in the long run is $11 a plate. At $11 a plate, rms in the industry make
zero economic prot.
A d d i t i o n a l D i s c u s s i o n Q u e s t i o n s
1. Why do rms do what they do? Students should see how a clear
understanding of a perfectly competitive market justies rm behavior that
otherwise might appear somewhat peculiar:
Late night TV is full of zany TV commercials with rm owners who claim “I
must be crazy, because I’m losing money on every sale!” Why do they
advertise to increase sales if they’ll cause the owner to lose even more
money? At rst, it appears that these owners must be lying about “losing
money on every sale.” Yet their unlikely claim is potentially true, as the various
rms in their industry may currently face a market price above AVC, but below
ATC in the short run. In this case they would remain in business and continue
advertising, despite “losing money on every sale” because they are earning
revenues above their variable costs to at least help contribute toward paying
their xed cost obligations to their creditors.
Why do the same farmers always complain of losing money but never
seem to exit the industry? Point out that agriculture is a collection of highly
competitive markets where farming operations typically have an extremely
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