The production function = (where , , 0) is called a Cobb-Douglas

%& production function. This function is widely used in economic research. Using = ,

answer the following:

- Explain, mathematically, how = 10 is a special case of the Cobb-Douglas

production function. (That is, with = 10, what is the value of , , and .)

- Will doubling and double, more than double, or less than double if + = 1?

Support your answer with calculations.

- Will doubling and double, more than double, or less than double if + < 1? Support your answer with calculations.

- Will doubling and double, more than double, or less than double if + > 1? Support your answer with calculations.

- Given your answers for b, c, and d; what determines whether production exhibits increasing, constant, or decreasing returns to scale for a Cobb-Douglas function? =a-1 b ,l =a b-1,and+=1. What happens to k as increases? What happens to l as increases? Support your answer with calculations.