Write the marginal physical product of labor mppl and

Question

In an interesting paper published in the journal American Economic Review in September 1970, Professor Martin Weitzman from Yale University estimated a production function for Russia (then the Soviet Union) based on a large amount of macroeconomic data from 1950 to 1969. The production function he used in his estimate

1_Q = γ rδ K -ρ + (1 - δ)L-ρ1- ρ
is known as the Constant Elasticity of Substitution (CES) production function. Weitzman estimated the parameters of the function and expressed it as

Y = 0.8(0.64K -1.5 + 0.36L-1.5)-0.67 (where Y is output)

(a) Is this function homogeneous?

(b) Write the marginal physical product of labor MPPL and capital MPPK .

(c) If K = 5000 units and L = 8000 units, what is Y , MPPL , and MPPK ?