In Linear ProgrammingIn the optimal simplex table zj-cj=0 indicatesans.boundedunboundedalternative solutioninfeasible Previous Marked for Review Next
Question
In Linear ProgrammingIn the optimal simplex table zj-cj=0 indicatesans.boundedunboundedalternative solutioninfeasible Previous Marked for Review Next
Solution
In Linear Programming, the condition zj-cj=0 in the optimal simplex table indicates an alternative solution. This is because zj-cj represents the difference between the cost of a variable in the objective function (cj) and the cost of that variable in the current solution (zj). When this difference is zero, it means that the variable has the same cost in the objective function and in the current solution, indicating that there is an alternative optimal solution.
Similar Questions
In Linear ProgrammingIn the optimal simplex table zj-cj=0 indicates
Linear Programming Simplex method was designed by ans.DantzigHungarianLemke A.Charnes Previous Marked for Review Next
Maximize Z- 3x1 + 2x2 subject to constraints 2 x1 + x2 18 2x1+3x2=42 3 x1 + x2 ≥ 20 i. Prepare initial simplex table for the above LPP. ii. Also find entering vector and departing vector from this table.
max z = −40x1 − 30x2 − 20x3s.t.10x1 + 3x2 + 5x3 ≤ 104x1 + 10x2 + 4x3 ≤ 15x1, x2, x3 ≥ 0 .(i) State its dual problem, and find the optimal solution of the latter using the SimplexMethod.
Solve the following LP by using the dual simplex method:min 3x1 + 2x2 + 10s.t.3x1 + x2 ≥ 3,4x1 + 3x2 ≥ 6,x1 ≥ 1,x2 free.2
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.