# Introduction to Land Rent Land Rent and Fertility Fixed prices of inputs and outputs. Zero economic profit. Three types of land –high fertility –medium.

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Introduction to Land Rent

Land Rent and Fertility Fixed prices of inputs and outputs. Zero economic profit. Three types of land –high fertility –medium fertility –low fertility Land to highest bidder. Zero transport costs.

Fig. 7.1 - Fertility and Land Rent MC AC Corn Mkt.High Fert.Med. Fert.Low Fert. Rent \$ Why?

Fig. 7.2 - Fertility and Land Rent MC AC Corn Mkt.High Fert.Med. Fert.Low Fert. Rent \$ Rent* Increased Fertility.Why do rents change??

Land Rent and Accessibility Again, fixed prices. Central mktplace, costs t/mile to get there. Distance to mktplace = u. Competitive markets All land is equally fertile, so production costs are the same everywhere. A little algebra:

Land Rent and Accessibility  = PQ - C - tQu - R So, if we have perfect competition, what happens to profits  ? They go to zero! So: 0 = PQ - C - tQu - R, or: R = PQ - C - tQu

Land Rent and Accessibility R = PQ - C - tQu What happens to rents as distance increases?  R/  u = -tQ A> They fall. Why? An example -- Worksheet for Figure 7.3 Fill in some numbers.

Land Rent and Accessibility If we want to look at Rent/acre, we now have: RT = PQ - C - tQu (T = # of acres) What happens to rent/acre as distance increases? R = (PQ - C - tQu)/T  R/  u = -tQ/T

Flexible Production Distance Rent A farmer with fixed production methods faces a linear rent curve. Pick a point A, with a certain technology. If we move 1 mile further away, we’ll remain on the red rent curve. Since land is cheaper, here, if we can substitute it for labor or capital, we can make higher profits. Others can do the same, so the rent we’ll be bid UP.

Flexible Production Distance Rent Do the same going the other way. We get a convex land rent function. 0

Competing for Land Producers of Type 1 will have the highest bids for land, up to two miles away. Producers of Type 2 will have the highest bids for the land further away.

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