Question

K Isoquant: Q 70 Tangency 8 Isocost: TC - $? 10 Figure 1. Isoquant and Isocost Price of L = $20; Price of K ? ; TC ?Refer to Figure 1. When total cost is minimized for producing Q-70, the relative productivity ratio of capital to labor is 2/

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Answer #1

Given that PL is 20 and maximum L at horizontal intercept of isocost line is 10. This shows that the cost is 20*10 = $200. Hence the price of capital is 200/8 = $25. Now MRTS = w/r = 20/25 or 4/5. MRTS = MPL/MPK = 4/5. But we are asked to find the relative productivity ratio of capital to labor which is MPK/MPL. Hence we have MPK/MPL = 5/4

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