Question: A certain production process uses 2 inputs: labor (L) and capital (K). The production function is given by: F ( L , K ) =

A certain production process uses 2 inputs: labor (L) and capital (K).

The production function is given by:

F(L,K)=6L2K20.1L3K3 Assume further that capital (K) is fixed at 10 units. a) Determine the Total Production function (TP_L) of labor. b) Determine the Average Production Function (AP_L) of labor. Answer the following 2 questions knowing that the marginal product of labor (MP_L) is: MPL=1200L300L2 c) Find the number of workers that maximizes the total production function d) Find the number of workers that maximizes the average production function.

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