A variable that has no physical meaning and is used to obtain an initial basic feasible solution to a linear programming problem is known as: A. basis B. algorithm C. artificial variable D. basic variable E. None of the above

[amp_mcq option1=”basis” option2=”algorithm” option3=”artificial variable” option4=”basic variable E. None of the above” correct=”option3″]

The correct answer is C. artificial variable.

An artificial variable is a variable that is added to a linear programming problem to obtain an initial basic feasible solution. It has no physical meaning and is always set to zero in the optimal solution.

A basis is a set of variables that are used to represent the solution to a linear programming problem. A basic feasible solution is a solution to a linear programming problem in which all the variables are non-negative.

An algorithm is a set of instructions that are used to solve a problem.

A basic variable is a variable that is in the basis.

None of the above is not the correct answer because it does not describe an artificial variable.