$(4$ points$)$ Suppose the production function for a fastfood restaurant is given by

Q $=12$K$0\mathrm{.}5$L$0\mathrm{.}5,$ where Q is the number of meals served per day, K is the amount of capital

employed, and L is the number of workers employed.

a$.$ What is the firm$$s output if K$=9$ and L$=64?$

b$.$ Write the equation for the firm$$s short run production function when K$=9.$

c$.$ Write the equation for the firm$$s short run average product of labor when K$=9.$

d$.$ Calculate the average product of labor when L$=64$ and K$=9.$ Round to the nearest whole

number.

$2.(9$ points$)$ Complete the table below. K is fixed.

Units of capital, K Units of labor, L Output, Q

Marginal

product of labor

Average

product of labor

$70000$

$17$

$28$

$7323$

$46$