Calculate marginal products and technical rates of substitution for several frequently encountered production functions. Consider the production

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Calculate marginal products and technical rates of substitution for several frequently encountered production functions. Consider the production function f(x1, x2) = 2x+ √x2. The marginal product of x1 is the derivative of f(x1, x2) with respect to x1, holding x2 fixed. This is just 2. The marginal product of x2 is the derivative of f(x1, x2) with respect to x2, holding x1 fixed, which in this case is 1/2√x2. The TRS is −MP1/MP2 = −4√x2. Those of you who do not know calculus should fill in this table from the answers in the back. The table will be a useful reference for later problems.

Marginal Products and Technical Rates of Substitution M P2(x1, x2) TRS(x1,x2) f(x1, x2) MP; (x1, X2) Xi + 2x2 ari + br2




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