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Suppose the market price of corn is $5 a bushel but the government sets a price of $7

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Suppose the market price of corn is $5 a bushel but the government sets a price of $7. As a result:

A. farmers will reduce planting until the market price is $7

B. there is a shortage of corn

C. the private demand will increase over time until $7 is the market price

D. the government must purchase the surplus to maintain the price