1. Consider the simple von-Thunen model of agricultural land use developed in class. This question asks you to analyze the land use of carrot farmers who use a fixed proportion production technology. Assume the following:

— carrot yield (E) is 20 tons per acre

— carrots sell at $15 per ton (P) at the market

— non-land input costs (I) are $60 per acre

— transport cost (t) is $4 per ton per mile

— farmers pay the transport cost of moving carrots d miles to the market

a. (6 points) Derive the bid-rent curve per acre of land for carrot farmers by imposing the appropriate long-run equilibrium condition. Explain the condition. Show all steps.

b. (6 points) Plot the bid-rent curve for carrot farmers. Then calculate the land area where carrots are grown.

c. (4 points) How much will the landlord charge to rent 1 acre at the city? at d=1 mile? at d = 5 miles? Show computations.

d. (4 points) Where does Farmer Jones prefer to locate? Why