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Consider the 2 2 production model. Production functions are given by f1(z11, z21) = (z11)^1 (z21)^11, f2(z12, z22) = (z12)^2 (z22)^12 where j (0, 1)

Consider the 2 2 production model. Production functions are given by f1(z11, z21) = (z11)^1 (z21)^11, f2(z12, z22) = (z12)^2 (z22)^12 where j (0, 1) for all j = 1, 2 and zij 0 for all i = 1, 2 and j = 1, 2. Show that if the set of technologically efficient factor allocations (the Pareto set) ever cuts the diagonal of the Edgeworth Box, then it must coincide with the diagonal.

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