Like many students at college, Arturo struggles to find a parking space on campus. Every year he has to buy a parking permit, which allows him to park on campus. Unfortunately, buying a permit does not guarantee that he can find a parking spot. So he often gets to campus well before class starts, hoping to find a good parking spot, but ends up driving around until someone leaves. One day after his economics class, Arturo comes up with a potential solution to the problem. He suggests the following: Suppose the demand for parking is given by the following equation: QD = 10,000 – 500P. At Arturo's school, there are 7,000 parking spaces for students. For the questions below, give all answers to the nearest whole number.

a. At most universities, students do not pay to park each day. They pay for a permit, which only allows them to park on campus. Therefore, the price students face each day is $ . Unfortunately, this creates a
of parking spaces.

b. The university, in order to prevent the shortage issue, is changing from selling parking permits to charging a daily parking fee. Suppose parking spaces were allocated at Arturo's school using the market mechanism. In this case, students would have to pay $ each day to park.

c. As his school gets larger, the demand for parking increases to QD = 12,000 – 500P. If Arturo's university wanted to keep the market price (the price of daily parking) the same, it would have to provide more parking spaces.