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Firm X Produces Output and Firm Y Produces Output

Question 31

Multiple Choice

Firm X produces output Firm X produces output   and Firm Y produces output   using capital,K,and labor,L,as inputs.Firm X has marginal rate of technical substitution MRTS<sup>x</sup><sub>K,L</sub> = K<sub>x</sub>/L<sub>x</sub>,while firm Y has marginal rate of technical substitution MRTS<sup>y</sup><sub>K,L</sub> = 9K<sub>y</sub>/L<sub>y</sub>. Which of the following allocations satisfies input efficiency? A)  Firm X has 5 units of K and 3 units of L, and Firm Y has 3 units of K and 1 unit of L. B)  Firm X has 5 units of K and 5 units of L, and Firm Y has 1 unit of K and 9 units of L. C)  Firm X has 9 units of K and 1 units of L, and Firm Y has 5 units of K and 5 units of L. D)  Firm X has 5 units of K and 5 units of L, and Firm Y has 1 unit of K and 3 units of L. and Firm Y produces output Firm X produces output   and Firm Y produces output   using capital,K,and labor,L,as inputs.Firm X has marginal rate of technical substitution MRTS<sup>x</sup><sub>K,L</sub> = K<sub>x</sub>/L<sub>x</sub>,while firm Y has marginal rate of technical substitution MRTS<sup>y</sup><sub>K,L</sub> = 9K<sub>y</sub>/L<sub>y</sub>. Which of the following allocations satisfies input efficiency? A)  Firm X has 5 units of K and 3 units of L, and Firm Y has 3 units of K and 1 unit of L. B)  Firm X has 5 units of K and 5 units of L, and Firm Y has 1 unit of K and 9 units of L. C)  Firm X has 9 units of K and 1 units of L, and Firm Y has 5 units of K and 5 units of L. D)  Firm X has 5 units of K and 5 units of L, and Firm Y has 1 unit of K and 3 units of L. using capital,K,and labor,L,as inputs.Firm X has marginal rate of technical substitution MRTSxK,L = Kx/Lx,while firm Y has marginal rate of technical substitution MRTSyK,L = 9Ky/Ly. Which of the following allocations satisfies input efficiency?


A) Firm X has 5 units of K and 3 units of L, and Firm Y has 3 units of K and 1 unit of L.
B) Firm X has 5 units of K and 5 units of L, and Firm Y has 1 unit of K and 9 units of L.
C) Firm X has 9 units of K and 1 units of L, and Firm Y has 5 units of K and 5 units of L.
D) Firm X has 5 units of K and 5 units of L, and Firm Y has 1 unit of K and 3 units of L.

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