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Social ScienceUse the simplex method to solve the linearprogramming problemz=2x4 +7x2subject to: 5x, X2 607x1+2x2 80Maximize+X1 +X270X1, X2 20.withSelect the correct choice below and, if necessary, fill in the answer boxes to complete your choiceand X2when X1The maximum is(Simplify your answers.)
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Use the simplex method to solve the linear programming problem z=2x4 +7x2 subject to: 5x, X2 60 7x1+2x2 80 Maximize + X1 +X270 X1, X2 20. with Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice and X2 when X1 The maximum is (Simplify your answers.)
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Max Z 2x7x Sub to 5x 60 72x80 70 Introduce slack variables and convert to canonical form. Max Z 2x +7x + 0sį +O.s2 +0s3 Sub to 5xxs = 60 7+2x 80 x 70
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Develop a simplex tableau for the problem and mark the second element of row 2 as a pivot element 000 2 7 В Хв XB S12 3 0 060 = 60 0 60 5 1 1 S1 1 0 1 0 7 2 0 80 40 2 S2 00 0 70 1 1 1 70 70 000 Z =0 0 Z-C2 -71 0 0 0 80
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Column 2 is pivot column since -7 is the most negative element And 2 is marked as the pivot element since the corresponding ratio is the least. Thus, the leaving variable is s and entering variable is x and R 2 Perform the row operations R, -» 2 to make the x, row as 2 R3 unity
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