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Consider the Linear Programme (LP) 
Maximize 4x + 6y
subject to 3x + 2y ≤  6
2x + 3y ≤ 6
x, y ≥ 0
Q. 
After introducing slack variables s and t, the initial basic feasible solution is represented by the tableau below (basic variables are s = 6 and t = 6, and the objective function value is 0).  

After some simplex iteration, the following tableau is obtained
From this, one can conclude that 
  • a)
    The LP has a unique optimal solution 
  • b)
    The LP has an optimal solution that is not unique 
  • c)
    The LP is infeasible  
  • d)
    The LP is unbounded 
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Consider the Linear Programme (LP)Maximize 4x + 6ysubject to 3x + 2y &...
As Cj = 0, 0 for x and y respectively therefore It is an optimal solution but not unique.
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Consider the Linear Programme (LP)Maximize 4x + 6ysubject to 3x + 2y ≤ 62x + 3y ≤ 6x, y ≥ 0Q.After introducing slack variables s and t, the initial basic feasible solution is represented by the tableau below (basic variables are s = 6 and t = 6, and the objective function value is 0). After some simplex iteration, the following tableau is obtainedFrom this, one can conclude thata)The LP has a unique optimal solutionb)The LP has an optimal solution that is not uniquec)The LP is infeasible d)The LP is unboundedCorrect answer is option 'B'. Can you explain this answer?
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Consider the Linear Programme (LP)Maximize 4x + 6ysubject to 3x + 2y ≤ 62x + 3y ≤ 6x, y ≥ 0Q.After introducing slack variables s and t, the initial basic feasible solution is represented by the tableau below (basic variables are s = 6 and t = 6, and the objective function value is 0). After some simplex iteration, the following tableau is obtainedFrom this, one can conclude thata)The LP has a unique optimal solutionb)The LP has an optimal solution that is not uniquec)The LP is infeasible d)The LP is unboundedCorrect answer is option 'B'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about Consider the Linear Programme (LP)Maximize 4x + 6ysubject to 3x + 2y ≤ 62x + 3y ≤ 6x, y ≥ 0Q.After introducing slack variables s and t, the initial basic feasible solution is represented by the tableau below (basic variables are s = 6 and t = 6, and the objective function value is 0). After some simplex iteration, the following tableau is obtainedFrom this, one can conclude thata)The LP has a unique optimal solutionb)The LP has an optimal solution that is not uniquec)The LP is infeasible d)The LP is unboundedCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider the Linear Programme (LP)Maximize 4x + 6ysubject to 3x + 2y ≤ 62x + 3y ≤ 6x, y ≥ 0Q.After introducing slack variables s and t, the initial basic feasible solution is represented by the tableau below (basic variables are s = 6 and t = 6, and the objective function value is 0). After some simplex iteration, the following tableau is obtainedFrom this, one can conclude thata)The LP has a unique optimal solutionb)The LP has an optimal solution that is not uniquec)The LP is infeasible d)The LP is unboundedCorrect answer is option 'B'. Can you explain this answer?.
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Here you can find the meaning of Consider the Linear Programme (LP)Maximize 4x + 6ysubject to 3x + 2y ≤ 62x + 3y ≤ 6x, y ≥ 0Q.After introducing slack variables s and t, the initial basic feasible solution is represented by the tableau below (basic variables are s = 6 and t = 6, and the objective function value is 0). After some simplex iteration, the following tableau is obtainedFrom this, one can conclude thata)The LP has a unique optimal solutionb)The LP has an optimal solution that is not uniquec)The LP is infeasible d)The LP is unboundedCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Consider the Linear Programme (LP)Maximize 4x + 6ysubject to 3x + 2y ≤ 62x + 3y ≤ 6x, y ≥ 0Q.After introducing slack variables s and t, the initial basic feasible solution is represented by the tableau below (basic variables are s = 6 and t = 6, and the objective function value is 0). After some simplex iteration, the following tableau is obtainedFrom this, one can conclude thata)The LP has a unique optimal solutionb)The LP has an optimal solution that is not uniquec)The LP is infeasible d)The LP is unboundedCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for Consider the Linear Programme (LP)Maximize 4x + 6ysubject to 3x + 2y ≤ 62x + 3y ≤ 6x, y ≥ 0Q.After introducing slack variables s and t, the initial basic feasible solution is represented by the tableau below (basic variables are s = 6 and t = 6, and the objective function value is 0). After some simplex iteration, the following tableau is obtainedFrom this, one can conclude thata)The LP has a unique optimal solutionb)The LP has an optimal solution that is not uniquec)The LP is infeasible d)The LP is unboundedCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of Consider the Linear Programme (LP)Maximize 4x + 6ysubject to 3x + 2y ≤ 62x + 3y ≤ 6x, y ≥ 0Q.After introducing slack variables s and t, the initial basic feasible solution is represented by the tableau below (basic variables are s = 6 and t = 6, and the objective function value is 0). After some simplex iteration, the following tableau is obtainedFrom this, one can conclude thata)The LP has a unique optimal solutionb)The LP has an optimal solution that is not uniquec)The LP is infeasible d)The LP is unboundedCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Consider the Linear Programme (LP)Maximize 4x + 6ysubject to 3x + 2y ≤ 62x + 3y ≤ 6x, y ≥ 0Q.After introducing slack variables s and t, the initial basic feasible solution is represented by the tableau below (basic variables are s = 6 and t = 6, and the objective function value is 0). After some simplex iteration, the following tableau is obtainedFrom this, one can conclude thata)The LP has a unique optimal solutionb)The LP has an optimal solution that is not uniquec)The LP is infeasible d)The LP is unboundedCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice Mechanical Engineering tests.
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