magine a circular city with a circumference of 50 miles. A total of 500 people live around the city, all of whom are evenly spaced. It costs any person 10 cents per mile to travel. Every one of these people needs to have exactly one meal prepared. The cost of preparing meals is given by C(g) = 10 + 0.5q where q is the number of meals prepared at any restaurant. (Hint: Define one unit of distance as 50 miles if that makes the problem easier.)   a.If you were  interested in the efficient way to feed the population, how many restaurants would you build? Show work and explain     b.If the market determines the number ofrestaurants, and the result is firms that make zero economic profit, how many firms will there be? Show work and explain    C. In what sense is this model one of monopolistic competition?

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter2: Mathematics For Microeconomics
Section: Chapter Questions
Problem 2.6P
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Salop circle spatial model

Imagine a circular city with a circumference of 50 miles. A total of 500 people live around the city, all of whom are evenly spaced. It costs any person 10 cents per mile to travel. Every one of these people needs to have exactly one meal prepared. The cost of preparing meals is given by C(g) = 10 + 0.5q where q is the number of meals prepared at any restaurant. (Hint: Define one unit of distance as 50 miles if that makes the problem easier.)

 

a.If you were  interested in the efficient way to feed the population, how many restaurants would you build? Show work and explain  

 

b.If the market determines the number ofrestaurants, and the result is firms that make zero economic profit, how many firms will there be? Show work and explain 

 

C. In what sense is this model one of monopolistic competition?

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