Chapter 4.5, Problem 45ES

In a certain chemical manufacturing process, the daily weight $y$ of defective chemical output depends on the total weight $x$ of all output according to the empirical formula $y=0.01x+0.00003x^2$ where $x$ and $y$ are in pounds. If the profit is $\text{\$}100$ per pound of nondefective chemical produced and the loss is $\text{\$}20$ per pound of defective chemical produced, how many pounds of chemical should be produced daily to maximize the total daily profit?