Figure 4-8
![](data:image/png;base64, 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)
Figure 4-8 shows the market for taxi rides. The following question(s) are based on this figure.
Refer to Figure 4-8. To legally drive a taxicab in New York City, you must have a medallion issued by the city government. Assume that only 13,200 medallions have been issued. Let's also assume this puts an absolute limit on the number of taxi rides that can be supplied in New York City on any day, because no one breaks the law by driving a taxi without a medallion. Assume as well that each taxi provides 6 trips per day. In that case, the quantity of taxi rides supplied is 79,200 (or 6 rides per taxi × 13,200 taxis). This is shown in the diagram with a vertical line at this quantity. Assume that there are no government controls on the prices that drivers can charge for rides.
a. What would the equilibrium price and quantity be in this market if there was no medallion requirement?
b. If there was no medallion requirement, indicate the area that represents consumer surplus.
c. If there was no medallion requirement, indicate the area that represents producer surplus.
d. If there was no medallion requirement, indicate the area that represents economic surplus.
e. What are the price and quantity with the medallion requirement?
f. With a medallion requirement in place, what area represents consumer surplus?
g. With a medallion requirement in place, what area represents producer surplus?
h. With a medallion requirement in place, what area represents the deadweight loss?
i. Based on your answers to parts (c) and (g), are taxicab drivers better off with the medallion requirement for taxicabs than without?
j. Are consumers better off with or without the medallion requirement for taxicabs?