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Consider the Cobb-Douglas production function, f ( x , y ) = 50 x 4 5...

Consider the Cobb-Douglas production function, f ( x , y ) = 50 x 4 5 y 1 5 , where f ( x , y )represents the number of units of a product produced using x units of labor and y units of capital.

A. Compute the marginal productivities of labor and capital when 32 unit of labor and 1 units of capital are used.

B. Use the marginal productivities to approximate the change in the number of units produced if the units of labor are increased to 35 while keeping the 1 unit of capital unchanged.

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