Chapter 11.6, Problem 53E

Productivity The number of CDs per hour that Snappy Hardware can manufacture at its plant is given by

$P=x^{0.6}{y}^{0.4},$

Where x is the number of workers at the plant and y is the monthly budget (in dollars). Assume that P is constant, and compute $\frac{dy}{dx}$

when $x=100\text{ and }y=200,000$, Interpret the result. [HINT: See Example 5.]