## (Solved) (I have finished part a, just need help for part b, c, and d. Thanks)Joe is graduating from college and is currently faced with a decision of

(I have finished part a, just need help for part b, c, and d. Thanks)Joe is graduating from college and is currently faced with a decision of choosing between two competing job offers for the same position from equally reputable companies. The jobs are in two different cities A and B. If he chooses the job in City A then Joeâ€™s monthly salary will be \$10,000while the company is City B is offering him a monthly salary of \$12,500. Joe looks for the best available rental apartment options in each city (he is not planning to buy a house). For renting similar one-bedroom apartments at a walking distance from his work place, Joe will have to pay a monthly rent of \$6,000 in City A and \$5,000 in City B.Â

Though the cities are very similar in almost all crucial characteristics, there is one main difference. City A is designed to be a bike-friendly city, while City B has no such facilities like bike-paths and bike-racks that are easily available in City A. [Note: For this example let us ignore the pollution-reducing effects of being bike-friendly. Also, Joe walks to work and henceÂ transport for work is not important to this discussion. We will care only about the pleasure and convenience of biking as a leisure activity.]

a)Â Joe indirect utility function is given byÂ V (y, p, a) = y - p +Â Î´a where y monthly salary, p is monthly rent, a takes value 100 if the amenity of a â€œbike-pathâ€ is available and 0 otherwise. Which city (and, resultantly, which job) will Joe choose for each of

the cases listed below. Explain each case.Â

(i)Â Î´Â = 0Â (ii)Â Î´Â = 20Â (iii)Â Î´Â = 35Â (iv)Â Î´Â = 40

Now, just consider the case whereÂ Î´Â = 40, to answer the following sub-parts (b) - (d):

b)Â Draw a diagram to show the determination of equilibrium income and rent in the two cities via the interaction of indifference curves and iso-cost curves.

c)Â Using lessons from the Roback Model, can you comment on the effect of the â€œbike-pathâ€amenity on consumer utility? Can you intuitively justify why utility is likely to behave in such amanner with respect to the â€œbike-pathâ€ amenity described here?

d)Â Using lessons from the Roback Model, can you comment on the effect of the â€œbike-pathâ€

amenity on firm costs? Can you intuitively justify why a firmâ€™s production costs are likely to behave in such a manner with respect to the â€œbike-pathâ€Â amenity described here?

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