In \(1983,\) the Reagan administration introduced a new agricultural program
called the Payment-in-Kind Program. To see how the program worked, let's
consider the wheat market:
a. Suppose the demand function is \(Q^{D}=28-2 P\) and the supply function is
\(Q^{S}=4+4 P\), where \(P\) is the price of wheat in dollars per bushel, and \(Q\)
is the quantity in billions of bushels. Find the freemarket equilibrium price
and quantity.
b. Now suppose the government wants to lower the supply of wheat by 25 percent
from the freemarket equilibrium by paying farmers to withdraw land from
production. However, the payment is made in wheat rather than in dollarshence
the name of the program. The wheat comes from vast government reserves
accumulated from previous price support programs. The amount of wheat paid is
equal to the amount that could have been harvested on the land withdrawn from
production. Farmers are free to sell this wheat on the market. How much is now
produced by farmers? How much is indirectly supplied to the market by the
government? What is the new market price? How much do farmers gain? Do
consumers gain or lose?
c. Had the government not given the wheat back to the farmers, it would have
stored or destroyed it. Do taxpayers gain from the program? What potential
problems does the program create?