Question

In: Economics

4. Jellystone National Park is located 10 minutes away from city A and 20 minutes away...

4. Jellystone National Park is located 10 minutes away from city A and 20 minutes away from city B. Cities A and B have 200; 000 inhabitants each, and residents in both cities have the same income and preferences for national parks. Assume that the cost for an individual to go to a national park is represented by the cost of the time it takes her to get into the park. Also assume that the cost of time for individuals in cities A and B is $:50 per minute. You observe that each inhabitant of city A goes to Jellystone 10 times a year, while each inhabitant of city B goes only 5 times a year. Assume the following: the only people who go to the park are the residents of cities A and B; the cost of running Jellystone is $1; 500; 000 a year; and the social discount rate is 10%. Also assume that the park lasts forever.

(a) Compute the cost per visit to Jellystone for an inhabitant of each city.

(b) Assuming that those two observations (cost per visit and number of visits per inhabitant of city A, and cost per visit and number of visits per inhabitant of city B) correspond to two points on the same linear individual demand curve for visits to Jellystone, derive that individual demand curve (the cost for the price, and the number of visits for the quantity).

(c) With the individual demand curve from (b), calculate the consumer surplus for an inhabitant in city A and in city B, respectively. (Note that inhabitants in the two cities may not pay the same price.) What is the total consumer surplus of the two cities entire population combined?

(d) The total consumer surplus measures the total bene t of the park to the inhabitants in the two cities. There is a timber developer who wants to buy Jellystone to run his business. He is offering $100 million for the park. Should the park be sold? Show the process you obtain your conclusion.

Expert Solution

Given that,

The cities named as A, B,

And there is park named as Jelly stones National Park.

(a) for calculating cost per visit :-

(b) & (c) :-

Calculating the linear demand curve and consumer surplus:-

(d) to calculate the offer received $100 million :-

Rahul Sunny answered 2 years ago

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