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New Age Pharmaceuticals produces drug NasaMist from four chemicals. Today, the company should produce 1000 pounds of drug. The three active ingredients in NasaMist are A, B, and C. By weight, at least 8% of NasaMist should 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 pound each of chemical. It is vital that at least 100 pounds of chemical 2 are employed. Find out the cheapest manner of producing today's batch of NasaMist.

NewAge data

Cost/lb of chemicals
Chemical 1 $8
Chemical 2 $10
Chemical 3 $11
Chemical 4 $14
Ingredient/lb of chemical  
  A B C
Chemical 1 0.03 0.02 0.01
Chemical 2 0.06 0.04 0.01
Chemical 3 0.10 0.03 0.04
Chemical 4 0.12 0.09 0.04

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