Question:
Which of the following is not true for linear programming problems
Which of the following is not true for linear programming problems
Updated On: Jul 7, 2022
- A slack variable is a variable added to the left hand side of a less than or equal to constraint to convert it into an euality
- A surplus variable is a variable subtracted from the left hand side of a greater than or equal to constraint to convert it into an equality
- A basic solution which is also in the feasible region is called a basic feasible solution
- A column in the simplex tableau that contains all of the variables in the solution is called pivot or key column
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The Correct Option is D
Solution and Explanation
It is obvious.
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Notes on Linear Programming Problem
Concepts Used:
Linear Programming
Linear programming is a mathematical technique for increasing the efficiency and effectiveness of operations under specific constraints. The main determination of linear programming is to optimize or minimize a numerical value. It is built of linear functions with linear equations or inequalities restricting variables.
Characteristics of Linear Programming:
- Decision Variables: This is the first step that will determine the output. It provides the final solution to the problem.
- Constraints: The mathematical form in which drawbacks are expressed, regarding the resource.
- Data: They are placeholders for known numbers to make writing complex models simple. They are constituted by upper-case letters.
- Objective Functions: Mathematically, the objective function should be quantitatively defined.
- Linearity: The function's relation between two or more variables must be straight. It indicates that the variable's degree is one.
- Finiteness: Input and output numbers must be finite and infinite. The best solution is not possible if the function consists infinite components.
- Non-negativity: The value of the variable should be either positive (+ve) or 0. It can't be a negative (-ve) number.