LP6. A company manufactures two types of cleaners. One s an al-purpose cleaner (

Question

LP6. A company manufactures two types of cleaners. One s an al-purpose cleaner (AP) and the other is an industrial strength cleaner S). Each cleaner is a mixture of three chemicals, as shown belorw. All-purpose, AP Each kiloliter requires: 12 liters of surfactants 9 liters of enzymes 30 liters of solvents Industrial strength, IS Each kiloliter requires: 24 liters of surfactants 5 liters of enyzmes 30 liters of solvents The proft per kiloliter from the AP cleaner is s100 and the profit per kiloliter from the IP cleaner is s85. The inventory of the company company can sell all the cleaner it produces, find the numbks of each cleanser the company should produce to maximize profit. What is the maximum proft? shows +80 liters of surfactants, 180 liters of enzymes, and 720 liters of solvents available. Assuming the

Explanation / Answer

Let the amount of AP=x and IS=y

Then we need to maximise profit=100x+85y subject to

Amount of Surfactants=12x+24y<=480

Amount of enzymes=9x+5y<=180

Amount of solvents=30x+30y<=720

and x,y>=0

Hence using solver, we get x=15KL ,y=9KL

Max Profit=2265

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