Production of goods

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There are two primary goods, goods 1 and 2, and there are two produced goods, goods 3 and 4. There is an endowment of one unit of each of the primary goods. The production functions for goods 3 and 4 are, respectively, f3(y1, y2) = min(2y1, y2) and f4(y1, y2) = min(y1, 2y2).

(a) In a box diagram, indicate the set of ef?cient allocations of goods 1 and 2 to the production of goods 3 and 4.

(b) Draw the output possibility set for goods 3 and 4.

(c) Suppose that equal positive quantities of goods 3 and 4 are produced at a point, z, on the output possibility frontier for goods 3 and 4. If the price of good 4 is 1, what are the possible prices of goods 1, 2, and 3, such that the point would be produced if both production processes were operated so as to maximize pro?ts at these prices and if no more than the endowments of goods 1 and 2 were used in production?

Reference no: EM13887951

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