Question 25 (4.5 points) In a simplex tableau values in the zj row represents 1)

Question

Question 25 (4.5 points) In a simplex tableau values in the zj row represents 1) the value of the objective function 2) the decrease in value of the objective function that will result if one unit of the variable corresponding to the jth column of the A matrix is brought into the basis 3) the net change in the value of the objective function that will result if one unit of the variable corresponding to the jth column of the A matrix is brought into the basis 4) the values of the decision variables Save

Explanation / Answer

Ans. 2) In simplex tableau the value in Zj row represents the the decrease in the value of the objective function that will result if one unit of the variable corresponding to the jth column of the A matrix is brought into the basis.

The simplex method performs elementary row operations on fuctional constraints or set of equations written in canonical form. It then determines if basic feasible solution for set of equations is optimal or not. To keep track of equations is done by use of matrix called simples tableau.Where Zj row of simplex tableau gives the gross decrease in value of objective function if given one unit increase in variable corresponding to the jth column of the A matrix.

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