3. The government of Optima, a small developing country which cannot affect world prices, wishes to achieve self sufficiency in food so that domestic production is enough to cover caloric needs. At present, food is imported. Assume self sufficiency involves producing at least X units of food at home where X is slightly more than the current production levels. The Finance Minister proposes attaining self sufficiency by putting a tariff on imports of food and raising the tariff until the country is self sufficient. The Minister for Agriculture suggests a subsidy to the production of food. He argues that this would not hurt consumers and so is the best way for production to be raised and the least cost way of attaining self sufficiency as defined above. a. (i) Draw the demand and supply of food as a function of the domestic price of food, the imports of food, and label the point X (the desired production level) to be slightly above the existing output level. (ii) The equilibrium with the Finance minister's proposal. (iii) The equilibrium with the Agriculture minister's proposal. b. Assuming that welfare is the sum of consumer surplus, producer surplus and net government revenue what is the change in welfare if: (i) the Finance Minister's proposal was implemented? (ii) the Agriculture Minister's proposal was implemented? (iii) What is your recommendation to the government? c. How is your answer related to the principle of targeting? d. If it was very costly for the government to raise revenue, how would your answer be affected? e. Suppose the target was to import no more than the import level M, which is the level achieved by the self-sufficiency tariff rate derived above. What would the optimal policy be? Explain the intuition behind your answer.