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Long-Run Production firm has the following long-run production function: q = 7L 0.4K0.6[or: 7(L^0.4)(K^0.6)] Jse this function to answer the questions (a. through d.) below.

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Long-Run Production firm has the following long-run production function: q = 7L 0.4K0.6[or: 7(L^0.4)(K^0.6)] Jse this function to answer the questions (a. through d.) below. a. The production function exhibits _ returns to scale. NOTE: Mark an "X" in the small box to the left of your chosen answer. increasing decreasing constan unknown b. In the respective boxes below, give the expression for the marginal product with respect to labor (MPL) and the marginal product with respect to capital (MPk). NOTE: Use the caret symbol ("^") to indicate an exponent. MPL: MP K c. In the box below. give the expression for the marginal rate of technical substitution of labor for capital (MRTS). MRTS: 1. Suppose, initially, L=45 and K=7. Use your answers in b. and c. to calculate specific numeric answers below. d1. Given the values for L and K. what is the MRTS? RTS d2. What is the marginal product with respect to L (MP,) if L increases to 46 (holding K at 7)? MPL: d3. What is the marginal product with respect to K (MPx) if K increases to 8 (holding L at 45)? MP K

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