Solve by Linear Programming.
A company manufactures two types of cleaners. One is an all-purpose cleaner (AP) and the other is an industrial strength cleaner (IS). Each cleaner is a mixture of three chemicals, as shown below.
All purpose, AP Industrial strengths, IS
-Each kiloliter requires: - Each kiloliter requires:
12 liters of surfactants 24 liters of surfactants
9 liters of enzymes 5 liters of enzymes
30 liters of solvents 30 liters of solvents
The profit per kiloliter from the AP cleaner is $100 and the profit per kiloliter from the IP cleaner is $85. The inventory of the company shows 480 liters of surfactants, 180 liters of enzymes, and 720 liters of solvents available. Assuming the company can sell all the cleaner it produces, find the number of kiloliters of each cleanser the company should produce to maximize profit. What is the maximum profit?