Question 3 (30 points) Paul’s company produces the drug Roza…
Question 3 (30 points) Paul’s company produces the drug Rozac from 4 chemicals. Today, they must produce at least 2,000 lb of the drug. The three active ingredients in Rozac are A, B, and C. By weight, at least 8% of Rozac must be ingredient A, at most 10% of Rozac must be ingredient B, and at least 2% of Rozac must be ingredient C. Rozac is produced by blending the 4 chemicals. The cost per pound of each chemical and the amount of each active ingredient in 1 lb of each chemical are given below in the table: Chemical Cost ($ per lb) A B C 1 8 0.03 0.02 0.01 2 10 0.06 0.04 0.01 3 11 0.1 0.03 0.04 4 14 0.12 0.19 0.04 It is necessary that at most 400 lb of chemical 4 are used. Formulate an LP that determines the cheapest way of producing today’s batch of Rozac. (You need to write all the decision variables, objective, and constraints and explain/describe EACH of them in your answer. You do NOT need to write out the parameters in this numerical example.)