2. (10%) Kaohsiung City is going to build parking space in its Central Business District. The total
cost for this project is 10,000 dollars. Suppose that the demand function of the parking space is
P =100–0.1X
, where P denotes the parking fee, X is the units of parking space.
【題組】
(1) If the Kaohsiung City government’s goal of this project is to maximize her benefit (profit),
then how many units of parking space should the City government have to build? What price
would be charged for each unit of parking space? How much the profit will be?