Which of the following statements is true regarding the solution methods for solving a linear programming (LP) model?Group of answer choicesThe Simplex algorithm is not the basis of most LP optimization software.The computer solution method uses the Evolutionary algorithm.The graphical solution method can handle LP models with any number of decision variables and constraints.None of the above.
Question
Which of the following statements is true regarding the solution methods for solving a linear programming (LP) model?Group of answer choicesThe Simplex algorithm is not the basis of most LP optimization software.The computer solution method uses the Evolutionary algorithm.The graphical solution method can handle LP models with any number of decision variables and constraints.None of the above.
Solution
The correct answer is "None of the above."
Explanation:
-
The Simplex algorithm is indeed the basis of most LP optimization software. It is a standard method for solving linear programming problems.
-
The computer solution method for linear programming problems typically uses the Simplex algorithm or Interior Point methods, not the Evolutionary algorithm. The Evolutionary algorithm is a type of heuristic algorithm used for optimization problems, but it's not the standard for LP problems.
-
The graphical solution method can only handle LP models with two decision variables. For models with more than two decision variables, other methods like the Simplex algorithm are used.
Therefore, none of the statements are true.
Similar Questions
What is the key difference between a maximization and a minimization linear programming problem?Group of answer choicesThe number of decision variables and constraints.The objective of the problem (what is being optimized).The solution method used to solve the problem.There is no difference between maximization and minimization LP problems.
When do we use linear programming technique? Explain mathematical formulation of Linear programming Problem (LPP).
The concept of ‘loop’ is used ina) transportation problem b) assignment problemc) queuing problem d) none of these.ii) In LPP, feasible solution regions are restricted bya) negative restriction b) positive restrictionc) non-negative restriction d) none of these.iii) An assignment problem can be solved bya) Hungarian method b) VAMc) Matrix minima method d) None of these.iv) What is the method to solve an LPP involving artificial variables ?a) Simplex method b) Charnes-M-methodc) VAM d) None of these.v) The optimality condition for minimization LPP in the simplex method isa) Z j – C j ≥ 0 ∀ j b) Z j – C j ≤ 0 ∀ jc) Z j – C j < 0 ∀ j d) none of these.
Solving an integer programming problem by rounding off answers obtained by solving it as a linear programming problem (using Simplex LP), we find thatGroup of answer choicesThe values of decision variables obtained by rounding off are always very close to the optimal values.The value of the objective function for a maximization problem will likely be less than that for the Simplex LP solution.The value of the objective function for a minimization problem will likely be less than that for the Simplex LP solution.All constraints are satisfied exactly.
Linear Programming Simplex method was designed by ans.DantzigHungarianLemke A.Charnes Previous Marked for Review Next
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.