Part A: Formulate as a constrained nonlinear program. Clearly indicate the variables, objective functio: constraints. Part B: Solve the Program (provide exact values for all variables and the optimal objective function).

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 33P: Assume the demand for a companys drug Wozac during the current year is 50,000, and assume demand...
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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 (provide exact values for all variables and the optimal objective function).
Transcribed Image Text: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 (provide exact values for all variables and the optimal objective function).
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