Chapter 7.2, Problem 89E

(A)

To determine

To find: The partial derivatives $f_x\left(x,y\right)\text{ and }{f}_y\left(x,y\right)$.

(B)

To determine

To find: The marginal productivity of labor and the marginal productivity of capital if the value of $x=600\text{ and }y=100$.

(C)

To determine

To find: Whether the management of the company should encourage the increased use of labor or increased of capital for the greatest increase in productivity.