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3.3-2. Consider a problem with two decision variables, x₁ and x2, which represent the levels of activities 1 and 2, respectively. For each variable, the permissible values are 0, 1, and 2, where the feasible combinations of these values for the two variables are de- termined from a variety of constraints. The objective is to maxi- mize a certain measure of performance denoted by Z. The values of Z for the possibly feasible values of (x1, x2) are estimated to be those given in the following table: X2 x1 0 1 2 0 1 2 036 4 8 8 13 6 12 18 Based on this information, indicate whether this problem completely satisfies each of the four assumptions of linear pro- gramming. Justify your answers.

3.3-2. Consider a problem with two decision variables, x₁ and x2, which represent the levels of activities 1 and 2, respectively. For each variable, the permissible values are 0, 1, and 2, where the feasible combinations of these values for the two variables are de- termined from a variety of constraints. The objective is to maxi- mize a certain measure of performance denoted by Z. The values of Z for the possibly feasible values of (x1, x2) are estimated to be those given in the following table: X2 x1 0 1 2 0 1 2 036 4 8 8 13 6 12 18 Based on this information, indicate whether this problem completely satisfies each of the four assumptions of linear pro- gramming. Justify your answers.

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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3.3-2. Consider a problem with two decision variables, x₁ and x2, which represent the levels of activities 1 and 2, respectively. For each variable, the permissible values are 0, 1, and 2, where the feasible combinations of these values for the two variables are de- termined from a variety of constraints. The objective is to maxi- mize a certain measure of performance denoted by Z. The values of Z for the possibly feasible values of (x1, x2) are estimated to be those given in the following table: X2 x1 0 1 2 0 1 2 036 4 8 8 13 6 12 18 Based on this information, indicate whether this problem completely satisfies each of the four assumptions of linear pro- gramming. Justify your answers.
Transcribed Image Text:3.3-2. Consider a problem with two decision variables, x₁ and x2, which represent the levels of activities 1 and 2, respectively. For each variable, the permissible values are 0, 1, and 2, where the feasible combinations of these values for the two variables are de- termined from a variety of constraints. The objective is to maxi- mize a certain measure of performance denoted by Z. The values of Z for the possibly feasible values of (x1, x2) are estimated to be those given in the following table: X2 x1 0 1 2 0 1 2 036 4 8 8 13 6 12 18 Based on this information, indicate whether this problem completely satisfies each of the four assumptions of linear pro- gramming. Justify your answers.
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