NewAge Pharmaceuticals produces the drug CovaMist from four chemicals. Today, the company must produce at least 1000 pounds of the drug. The three active ingredients in CovaMist are A, B, and C. By weight, CovaMist must consist of at least 7% (by weight) of active ingredient A, at least 3% 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 of each chemical are given on the worksheet. It is necessary that at least 100 pounds of chemical 2 be used. Determine the cheapest way of producing today's batch of CovaMist.

Hint: Be careful to avoid creating a non-linear program. One way this might happen is to divide by the total lbs used.

Cost/lb of chemicals Chemical 1 $8 Chemical 2 $10 Chemical 3 $11 Chemical 4 $12 Active 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 0.13 0.09 0.05 Required percentages of active ingredient A B C 7% 3% 2% Production plan Lbs used Chemical 1 Chemical 2 Chemical 3 Chemical 4 A B C Actual A-B-C content A-B-C content required Total cost