1. Answer the questions below given a production function that is defined by Q = √LK + K + L²

a. Find the marginal product of labor.

b. Find the marginal product of capital.

C. Define ranges of diminishing, increasing, or negative marginal returns to labor, if possible, when capital is

fixed at 1 unit.

d. Is it necessary to fix capital if we want to find out how marginal returns to labor is changing? Explain your

answer.

e. Define ranges of diminishing, increasing, or negative marginal returns to capital, if possible, when labor is

fixed at 1 unit.

f. Find the marginal rate of technical substitution of labor for capital.