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3*2 3x1 x2 s 6 x x2 2 0 The following Simplex tableau corresponds to a basic fea

ID: 362664 • Letter: 3

Question

3*2 3x1 x2 s 6 x x2 2 0 The following Simplex tableau corresponds to a basic feasible solution to the L.P problem above BV X1 X2 st 3 2 0 3 According to this Simplex Tableau, this basic feasible solution ia - :. In :are baaic variablea, .and 82 this basic feasible solution, variables and variables adjacent basic feasible solution, variable variable (i.e., entering the basis), and variable leaving variable (i.e., leaving from the basis). The Simplex tableau for the better adjacent basic feasible solution is: are nonbasic variables. To move to a better is the entering : is the X2 Row 0 0 Save All Aiswers Cliek Save and Submit to save and submit. Click Save All Answers to save all answers MacBook Air

Explanation / Answer

According to the Simplex Tableau, this basic feasible solution is x1=0, x2=0, s1=4, and s2=6. In this basic feasible solution, variables s1, and s2 are basic variables and variables x1, and x2 are nonbasic variables. To move to a better adjacent basic feasible solution, variable x1 is the entering variable (consider the most negative of the row no. 0) and s2 is the leaving variable (calculate the ratio 4/1 and 6/3, where 1 and 3 are coming from the x1 coulmn and take the variable s2 because 4/1 > 6/3).

Initial Tableau Row z x1 x2 s1 s2 Rhs BV Ratio 0 1 -3 -1 0 0 0 z 1 0 1 3 1 0 4 s1 4 2 0 3 1 0 1 6 s2 2 Next iteration Row z x1 x2 s1 s2 Rhs BV 0 1 0 0 0 1 6 z 1 0 0 2.666667 1 -0.33333 2 s1 2 3 1 0.333333 0 0.333333 2 x1
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