Cit Chemical Chorporation must produce exactly 1,000 kilograms of a special mixture of Chemical A and Chemical B for a customer. Chemical A costs PhP125 per kilogram and Chemical B costs PhP150 per kilogram. No more than 300 kgs of Chemical A can be used, and at least 150 kgs of Chemical B must be used. The problem is to determine the least-cost blend of the two ingredients.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Instruction: Formulate the following problem as a linear program and solve using simplex method.
    
Cit Chemical Chorporation must produce exactly 1,000 kilograms of a special mixture of Chemical A and Chemical B for a customer. Chemical A costs PhP125 per kilogram and Chemical B costs PhP150 per kilogram. No more than 300 kgs of Chemical A can be used, and at least 150 kgs of Chemical B must be used. The problem is to determine the least-cost blend of the two ingredients.

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