Chapter 16, Problem 11P

A chemical plant requires ${10}^6\text{L/day}$ of a solution. Three sources are available at different prices and supply rates. Each source also has a different concentration of an impurity that must be kept below a minimum level to prevent interference with the chemical. The data for the three sources are summarized in the following table. Determine the amount from each source to meet the requirements at the least cost.

	Source 1	Source 2	Source 3	Required
Cost $\left[\$/\text{L}\right]$	0.50	1.00	1.20	minimize
Supply $\left({10}^5\text{ L/day}\right)$	20	10	5	$\le 10$
Concentration $\left(\text{mg/L}\right)$	135	100	75	$\le 100$