Solve the Problem $P(x, y)=100\left[\frac{2}{3} x^{-2 / 3}+\frac{2}{5} y^{-1 / 3}\right]^{-4}$

Multiple Choice

Solve the problem.
-Production of television sets is given by $P(x, y) =100\left[\frac{2}{3} x^{-2 / 3}+\frac{2}{5} y^{-1 / 3}\right]^{-4}$ , where $x$ is work hours and $y$ is the amount of capital. If 64 work hours and 125 units of capital are used, what is the production output?

A) 456,356
B) 4630
C) 4564
D) 463,030