Production function economists have found that the output

Question

Question: PRODUCTION FUNCTION Economists have found that the output of a finished product, f(x, y), is sometimes described by the function

f(x, y) = ax^by^1-b

Where x stands for the amount of money expended for labor, y stands for the amount expended on capital, and a and b are positive constants with 0 < b=""><>

a. If p is a positive number, show that f(px, py) = pf(x, y).

b. Use the result of part (a) to show that if the amount of money expended for labor and capital are both increased by r%, then the output is also increased by r%.