11 Eli Daisy produces the drug Rozac from four chemicals. Today they must produce 1,000 lb of the drug.

The three active ingredients in Rozac are A, B, and C. By weight, at least 8% of Rozac must consist of A, at least 4%

of B, and at least 2% of C. The cost per pound of each chemical and the amount of each active ingredient in 1 lb of each chemical are given in Table 19.

It is necessary that at least 100 lb of chemical 2 be used.

Formulate an LP whose solution would determine the cheapest way of producing today’s batch of Rozac.

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TABLE 16 Production Mine Cost ($) Capacity Ash Content (Tons) Sulfur Content (Tons) 1 50 120 2 55 100 3 62 140 ! .08 .06 .04 .05 .04 .03 TABLE 17 Customer 1 80 Customer 2 Customer 3 Customer 4 70 60 40 TABLE 18 Customer Mine 1 2 3 4 1 2 3 498 6 6 12 873 8 12 11 5