Answer to Question #200141 in Macroeconomics for hafsa

Question

A city government is considering renting space in an all‑day parking garage for its 100 employees. The government estimates these employees' demand function for parking spaces is 150 ‑ 50P (P ≥ $1), where P is the per-day price of parking, and the city will pass on the cost.

 

 (a)     If the city needs not charge each of its employees the same price for a parking space, what is the maximum amount the city could pay for the 100 spaces, and what would be the average cost per space?

 

 (b)    Assume the employees’ union insists that – per their contract – each employee must be charged the same price for parking, and the city’s response is to intend charging the price that maximizes its parking fee revenue. What price per space would the city charge under this circumstance, and how much less total dollar benefit would the employees receive?

Answer 1

a.). Demand function for parking:

$Q = 150 – 50P \\ 100 = 150 – 50P\\ 50P = 150 – 100\\ 50P = 50\\ P = 1$

The maximum amount the city could pay for the 100 spaces $= (1 \times2) \times100 = 2 \times 100 = \$200$

Average cost per space$= \frac{200}{100 }= \$2$

 

b.). Set $MR = MC$

$150 = 100P\\ P = 1.5$

The city will charge a price per space = $1.5

Less dollar benefit employees will receive = $6.25