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Problem 3: Consider the following linear programming problem: Min s.t. 6X5Y+24Z -4X + 3Y +9Z ≤ 509 2X + 5Y17Z = 221 10X + 11Y + 32Z > 261

Problem 3: Consider the following linear programming problem: Min s.t. 6X5Y+24Z -4X + 3Y +9Z ≤ 509 2X + 5Y17Z = 221 10X + 11Y + 32Z > 261

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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Problem 3: Consider the following linear programming problem: Min s.t. 6X5Y+ 24Z -4X + 3Y +9Z < 509 2X + 5Y17Z = 221 10X + 11Y+ 32Z ≥ 261 X ≤0 Y unrestricted ZZO Recall that the standard form of a linear programming problem entails maximizing a linear function of the decision variables, subject to less than or equal to constraints, with non-negative decision variables. a) Convert this problem to standard form b) Solve the problem using the Solver. You can use either the standard form or the form above. Using the original decision variables, a. What is the value of the objective function b. What are the values of the decision variables c. Which constraints are binding? d. Which constraints are not binding?
Transcribed Image Text:Problem 3: Consider the following linear programming problem: Min s.t. 6X5Y+ 24Z -4X + 3Y +9Z < 509 2X + 5Y17Z = 221 10X + 11Y+ 32Z ≥ 261 X ≤0 Y unrestricted ZZO Recall that the standard form of a linear programming problem entails maximizing a linear function of the decision variables, subject to less than or equal to constraints, with non-negative decision variables. a) Convert this problem to standard form b) Solve the problem using the Solver. You can use either the standard form or the form above. Using the original decision variables, a. What is the value of the objective function b. What are the values of the decision variables c. Which constraints are binding? d. Which constraints are not binding?
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