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cBi = coefficients of the current basic variables in the objective function. ... XB = solution values of the basic variables. zj-cj = index row. Or Relative Cost factor The rules used for the construction of the initial simplex table are same in both the maximization and the minimization problems.
Muneeswaran Thavaman...
Wiki User
∙ 13y agoCj
Cj is the contribution factor/unit or the coefficient of each variables in the Objective Function..
Zj
Zj can be found out by multiplying each variable in that column with the corresponding coefficient of the basic solution variable in the Objective function and then adding them together..
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Z=6x+4y
3x+7y<=50
5x+2y<=60
Implies,
3x+7y+s1=50
5x+2y+s2=60
&
z=6x+4y+0s1+0s2
Here S1 and S2 are the slack variables. And they form the Initial basic feasible solution.
The coefficient of both S1 and S2 are zero in the Objective function.
Cj = (6 4 0 0)
Zj,
Z1=3X0+5X0=0
Z2=7X0+2X0=0
Z3=1X0+0X0=0
Z4=0X0+1X0=0
Thus,
Zj = (0 0 0 0)
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