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After introducing slack variables s and t, the initial basic feasible solution is represented by the table below (basic variables are s = 6 and t = 6, and the objective function value is 0).

After some simplex iterations, the following table is obtained

From this, one can conclude that
[2008]
  • 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
After introducing slack variables s and t, the initial basic feasible ...
z = 4x + 6y
3x + 2y ≤ 6
2x + 3y ≤ 6
x, y > 0
Feasible region (O–A–B–C–0) Since, Slope of objective function is equal to the slope of constraint Hence LPP has multiple optimal solution
At B (6/5, 6/5)
Z = 12
At C (0,2)
Z = 12
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Most Upvoted Answer
After introducing slack variables s and t, the initial basic feasible ...
z = 4x + 6y
3x + 2y ≤ 6
2x + 3y ≤ 6
x, y > 0
Feasible region (O–A–B–C–0) Since, Slope of objective function is equal to the slope of constraint Hence LPP has multiple optimal solution
At B (6/5, 6/5)
Z = 12
At C (0,2)
Z = 12
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After introducing slack variables s and t, the initial basic feasible solution is represented by the table below (basic variables are s = 6 and t = 6, and the objective function value is 0).After some simplex iterations, the following table is obtainedFrom this, one can conclude that[2008]a)the LP has a unique optimal solutionb)the LP has an optimal solution that is not uniquec)the LP is infeasibled)the LP is unboundedCorrect answer is option 'B'. Can you explain this answer?
Question Description
After introducing slack variables s and t, the initial basic feasible solution is represented by the table below (basic variables are s = 6 and t = 6, and the objective function value is 0).After some simplex iterations, the following table is obtainedFrom this, one can conclude that[2008]a)the LP has a unique optimal solutionb)the LP has an optimal solution that is not uniquec)the LP is infeasibled)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 After introducing slack variables s and t, the initial basic feasible solution is represented by the table below (basic variables are s = 6 and t = 6, and the objective function value is 0).After some simplex iterations, the following table is obtainedFrom this, one can conclude that[2008]a)the LP has a unique optimal solutionb)the LP has an optimal solution that is not uniquec)the LP is infeasibled)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 After introducing slack variables s and t, the initial basic feasible solution is represented by the table below (basic variables are s = 6 and t = 6, and the objective function value is 0).After some simplex iterations, the following table is obtainedFrom this, one can conclude that[2008]a)the LP has a unique optimal solutionb)the LP has an optimal solution that is not uniquec)the LP is infeasibled)the LP is unboundedCorrect answer is option 'B'. Can you explain this answer?.
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