Question: 4 . A compa ny b lends three ingredients A, B, and C to form two types of fertilizer s , standard and premium. The
4. A company blends three ingredients A, B, and C to form two types of fertilizers, standard and premium. The company has to produce at least 400 pounds of each type of fertilizer. Standard fertilizer should have at least 20% of nitrogen. Premium fertilizer should have at least 20% chlorine. Composition, availability and cost of ingredients are as indicated below:
Ingredient | Nitrogen Content | Chlorine Content | Cost/lb ($) |
A | 30% | 40% | 4 |
B | 30% | 30% | 7 |
C | 40% | 30% | 6 |
Formulate a linear programming model that will minimize the cost of production.
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