Question
Suppose that the demand for San Francisco cable car rides is = 10,000 1,000, where is the price per ride and is the number of
Suppose that the demand for San Francisco cable car rides is = 10,000 1,000, where is the price per ride and is the number of rides per day, and that the objective of San Francisco's Municipal Authority (the cable car operator) is to maximize its revenues. What is the revenue-maximizing price? Suppose that San Francisco calculates that the city's businesses benefit from tourists and residents riding on the city's cable cars at $5 per ride. If the city's objective is to maximize the sum of the cable car revenues and the economic impact, what is the optimal price?
THE PART OF THIS QUESTION I DO NOT GET IS THE BOLDED PORTION.
- WHAT DOES "Suppose that San Francisco calculates that the city's businesses benefit from tourists and residents riding on the city's cable cars at $5 per ride." TELL ME?
- ALSO WHAT IS THE SUM OF THE CABLE CAR REVENUES AND THE ECONOMIC IMPACT? WHAT IS THE OPTIMAL PRICE? Last time around I was told "The optimal quantity is 5000*$5 = $25000, therefore the city does not benefit at $5.... This explanation does not make any sense to me at all, nor do I think it answers the questions
MY ANSWER SO FAR/NOT HELPED BY COURSEHERO TUTOR:
P(Q) = 10 0.001Q
MR = 10 0.002Q
To get the revenue maximizing quantity for a monopoly, set the Marginal Revenue equal to 0
0 = 10 0.002Q
0.002Q = 10
Q = 5, 000
Plug the profit maximizing quantity into the inverse demand equation to find the optimal price
P(Q) = 10 0.001(5000)
P(Q) = $5
Total Revenue
TR = PxQ
TR = 5,000 x 5 = $25,000
The revenue maximizing price is $5 per ride and the revenue maximizing quantity is 5,000 rides per day and generates a maximum revenue of $25,000.
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