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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 X, and x of the basic raw materials are combined, a quantity q of fertilizer results given by: q=4x1+2x-0.5x -0.25x Part A: Formulate as a constrained nonlinear program. Clearly indicate the variables, objective function, and constraints. Part B: Solve the Program via Python (provide exact values for all variables and the optimal objective function). 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 X, and x of the basic raw materials are combined, a quantity q of fertilizer results given by: q=4x1+2x-0.5x -0.25x Part A: Formulate as a constrained nonlinear program. Clearly indicate the variables, objective function, and constraints. Part B: Solve the Program via Python (provide exact values for all variables and the optimal objective function).
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Solution Part A Formulating the constrained nonlinear program The following are the variables in thi... View the full answer
Related Book For
Management Accounting
ISBN: 9780730369387
4th Edition
Authors: Leslie G. Eldenburg, Albie Brooks, Judy Oliver, Gillian Vesty, Rodney Dormer, Vijaya Murthy, Nick Pawsey
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