New Age Pharmaceuticals produces the drug NasaMist from four chemicals. Today, the company must produce 1000 pounds of the drug. The three active ingredients in NasaMist are A, B and C. By weight, at least 8% of NasaMist 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 one pound of each chemical are given. At leasat 100 pounds of chemical 2 must be used.
a. Determine the cheapest way of producing today’s bath of NasaMist.
b. Use SolverTable to see how much the percentage of requirement of A is really costing New Age. Let the percentage required vary from 6% to 12%.
New Age Pharmaceuticals
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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