The supply and demand curves for corn are as follows:  QD = 3,750 - 725P  QS = 920 + 690P, where Q = millions of bushels and P = price per bushel.  a. Calculate the equilibrium price and quantity that would prevail in the free market.  b. The government has imposed a R2.50 per bushel support price. How much corn will the  government be forced to purchase?  c. Calculate the loss in consumer surplus that would occur under the support program.

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