In: Economics
Consider again Worked-Out Problem 14.2. The daily demand for
pizza is
Qd=32,900−600P,Qd=32,900−600P,
where P is the price of a pizza. The daily costs for a
pizza company include $845 in avoidable fixed costs and variable
costs equal to
VC=5Q+Q2/80,VC=5Q+Q2/80,
where Q is the number of pizzas produced each day.
Marginal cost when producing Q pizzas is
MC=5+Q/40.MC=5+Q/40.
Recall that the price is $11.50, and the total quantity demanded is
26,000 pizzas per day. In a long-run equilibrium, each active firm
produces 260 pizzas per day, its efficient scale. That means there
are 100 active firms in the initial long-run equilibrium. Suppose
that starting at the initial long-run equilibrium with a price of
$11.50 and 100 active firms, the government requires firms to pay a
tax of $11.50 per pizza.
a. Complete the table below.
Instructions: Round quantities to the nearest
whole number and prices to 2 decimal places.
No tax |
With a tax = $11.50 |
|
Short-run equilibrium price |
11.50 |
|
Short-run equilibrium quantity |
26,000 |
|
Consumer surplus |
562,000 |
|
Producer surplus |
84,500 |
|
Aggregate surplus |
647,400 |
|
Government revenue |
— |
|
Deadweight loss |
— |
b. In the long run, the equilibrium price will be $ and the
quantity will be .
c. Relative to the short-run equilibrium, deadweight
loss:
cannot be determined. | |
decreases. | |
stays the same. | |
increases. |