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Which of the following statements are true?
I. Simplex method can handle only ≤ type constraints
II. Simplex method can be applied only when the number of decision variables are ≥ 3
III. Simplex method can be applied to only maximization problems
- a)I & III
- b)I, II & III
- c)Only I
- d)I & II
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Which of the following statements are true?I. Simplex method can hand...
Simplex Method Constraints
- Statement I is true, as the Simplex method can handle only ≤ type constraints. This is because the method is designed to work with linear programming problems where the constraints are in the form of inequalities.
Number of Decision Variables
- Statement II is false. The Simplex method can be applied to problems with any number of decision variables, not just when the number is greater than or equal to 3. The method is a powerful tool for solving linear programming problems regardless of the number of variables involved.
Objective Function Type
- Statement III is false. The Simplex method can be applied to both maximization and minimization problems. It is not limited to maximization problems only. The method can optimize the objective function by moving through feasible solutions to reach the optimal solution.
Therefore, the correct statements are I and II. The Simplex method is a widely used algorithm for solving linear programming problems with constraints in the form of ≤, =, or ≥ and can handle problems with any number of decision variables. Additionally, it can optimize both maximization and minimization objective functions.
- Statement I is true, as the Simplex method can handle only ≤ type constraints. This is because the method is designed to work with linear programming problems where the constraints are in the form of inequalities.
Number of Decision Variables
- Statement II is false. The Simplex method can be applied to problems with any number of decision variables, not just when the number is greater than or equal to 3. The method is a powerful tool for solving linear programming problems regardless of the number of variables involved.
Objective Function Type
- Statement III is false. The Simplex method can be applied to both maximization and minimization problems. It is not limited to maximization problems only. The method can optimize the objective function by moving through feasible solutions to reach the optimal solution.
Therefore, the correct statements are I and II. The Simplex method is a widely used algorithm for solving linear programming problems with constraints in the form of ≤, =, or ≥ and can handle problems with any number of decision variables. Additionally, it can optimize both maximization and minimization objective functions.
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Which of the following statements are true?I. Simplex method can handle only ≤ type constraintsII. Simplex method can be applied only when the number of decision variables are ≥ 3III. Simplex method can be applied to only maximization problemsa) I & IIIb) I, II & IIIc) Only Id) I & IICorrect answer is option 'C'. Can you explain this answer? for Mechanical Engineering 2025 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about Which of the following statements are true?I. Simplex method can handle only ≤ type constraintsII. Simplex method can be applied only when the number of decision variables are ≥ 3III. Simplex method can be applied to only maximization problemsa) I & IIIb) I, II & IIIc) Only Id) I & IICorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following statements are true?I. Simplex method can handle only ≤ type constraintsII. Simplex method can be applied only when the number of decision variables are ≥ 3III. Simplex method can be applied to only maximization problemsa) I & IIIb) I, II & IIIc) Only Id) I & IICorrect answer is option 'C'. Can you explain this answer?.
Which of the following statements are true?I. Simplex method can handle only ≤ type constraintsII. Simplex method can be applied only when the number of decision variables are ≥ 3III. Simplex method can be applied to only maximization problemsa) I & IIIb) I, II & IIIc) Only Id) I & IICorrect answer is option 'C'. Can you explain this answer? for Mechanical Engineering 2025 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about Which of the following statements are true?I. Simplex method can handle only ≤ type constraintsII. Simplex method can be applied only when the number of decision variables are ≥ 3III. Simplex method can be applied to only maximization problemsa) I & IIIb) I, II & IIIc) Only Id) I & IICorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following statements are true?I. Simplex method can handle only ≤ type constraintsII. Simplex method can be applied only when the number of decision variables are ≥ 3III. Simplex method can be applied to only maximization problemsa) I & IIIb) I, II & IIIc) Only Id) I & IICorrect answer is option 'C'. Can you explain this answer?.
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