(c)Consider a society consisting of just a farmer and a tailor. The farmer has 10 units of food but no clothing. The
tailor has 20 units of clothing but no food. Suppose each has the utility function U =F * C. The price of clothing
is always $1. If the price of food is $3, does a competitive equilibrium exist? If not, what will happen to the price
of food? (7%)
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