Question: Explain how to solve in detail : Question 1: a. The Metalco Company desires to blend a 1000 lbs of a prototype alloy that is

Explain how to solve in detail :

Question 1: a. The Metalco Company desires to blend a 1000 lbs of a prototype alloy that is 40 percent tin, 35 percent zinc, and 25 percent lead. It will produce this alloy by blending several alloys which have the following properties. Alloy 2 3 b. A metals company is trying to blend a new alloy from a group of alloys A. The final blend with have percentages fm for each metal m. Each alloy a contains Pmapercent of each metal m. The cost per pound of alloy a isca. Because of contractual obligations, you must purchase at least 1 pounds of alloy a. Develop a mathematical model this problem, clearly introducing any notation that you use. 1 Percentage of tin 60 ol 45 50 Percentage of zinc 10 45 40 Percentage of lead 30 10 10 Cost ($/b) 77 88 94 Because of contractual obligations, Metalco has committed to purchasing a least 400 lbs. of Alloy 2. The company's goal is to minimize its total cost. Develop a mathematical model for this problem, clearly defining any notation that you use. C. What type of a formulation is this? (LP, IP, etc)

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