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Calculate national income y derive the equation for the

Question: Assume that the production function is given by Y = A K^.4 L^.6 where Y = National Income = GDP, K = 100, L = 400, and A = 10.

a. Calculate National Income (Y)? Derive the equation for the marginal product of labor (MPL) What happens to the MPL as K increases?

b. Derive the equation for the marginal product of capital (MPK) What happens to the MPK as K increases?

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