There is a specific relationship between the marginal product of labor and the average product of labor.For the following parts of this question work...

      (a and b are arbitrary constants.)

a.      Find the marginal utility of x and y using calculus. (4 points)

b.      Explain whether the marginal utility of x and y is positive or negative and its economic significance. (4 points)

c.      Explain whether the marginal utility of x and y is increasing or decreasing. (4 points)

d.      What is the amount of x that will maximize utility? (3 points)