Question: (Problem Set) 3: Note, Problem Set 3 directly focuses on Modules 5 and 6: Integer Programs, Nonlinear and Multiobjective Programming. 5 questions Rubric: All questions

(Problem Set) 3: Note, Problem Set 3 directly focuses on Modules 5 and 6: Integer Programs, Nonlinear and Multiobjective Programming. 5 questions Rubric: All questions worth 30 points 30 Points: Answer and solution are fully correct and detailed professionally. 26-29 Points: Answer and solution are deficient in some manner but mostly correct. 21-25 Points: Answer and solution are missing a key element or two. 1-20 Points: Answer and solution are missing multiple elements are significantly deficient/incomprehensible. 0 Points: No answer provided. 1. An engineer at Fertilizer Company has synthesized a sensational new fertilizer made of just two interchangeable basic raw materials. The company wants to take advantage of this opportunity and produce as much as possible of the new fertilizer. The company currently has $40,000 to buy raw materials at a unit price of $8000 and $5000 per unit, respectively. When amounts x1 and x2 of the basic raw materials are combined, a quantity q of fertilizer results given by: ? = 4?1 2?2 0.5?2 1 0.25

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