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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