Mathematics
Mathematics, 20.09.2019 16:30, loganparrish2488

Find all optimal solutions to the following lp using the simplex algorithm:
maxz = x1 + 2x2 + 3x3
s. t.
x1 + 2x2 + 3x3 ≤ 10
x1 + x2 ≤ 5
x1 ≤ 1
x1,x2,x3 ≥ 0

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Answers: 1
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Предмет
Mathematics, 14.09.2019 02:30, kprincess16r
Find all optimal solutions to the following lp using the simplex algorithm: maxz = x1 + 2x2 + 3x3 s.t. x1 + 2x2 + 3x3 ≤ 10 x1 + x2 ≤ 5 x1 ≤ 1 x1,x2,x3 ≥ 0
Answers: 2
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Предмет
Mathematics, 14.09.2019 02:30, dmperez1213
The big-m method is an adaptation of the simplex algorithm which is used as an alternative to the two-phase simplex method. the pseudo-code for the big-m method is as follows: algorithm big-m input: an lp in canonical form with objective maxz = f(x) and artificial variables output: an optimal solution to the lp or a statement that the lp is infeasible or unbounded 1: let m be a very large constant 2: modify the objective of the lp to maxz0 = f(x)−mpp i=1 yi 3: employ the standard simplex algorithm to solve the lp with the modified objective. the optimality criterion is satisfied when there are no more negative reduced costs in the columns of the non-artificial variables solve the following lp by using the big-m method minz = 2x1 + 3x2 −5x3 s.t. x1 + x2 + x3 = 7 2x1 −5x2 + x3 ≥ 10 x1,x2,x3 ≥ 0
Answers: 3
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Предмет
Mathematics, 20.09.2019 18:30, kiarabermudez754
The big-m method is an adaptation of the simplex algorithm which is used as an alternative to the two-phase simplex method. the pseudo-code for the big-m method is as follows: algorithm big-m input: an lp in canonical form with objective max 2 = f(x) and artificial variables y1, yp output: an optimal solution to the lp or a statement that the lp is infeasible or unbounded 1: let m be a very large constant 2: modify the objective of the lp to maxz' = f(x) - m y 3: employ the standard simplex algorithm to solve the lp with the modified objective. the optimality criterion is satisfied when there are no more negative reduced costs in the columns of the non-artificial variables solve the lp from q2 by using the big-m method (hint: use the symbol m in the simplex tableau and not simply a large number of your choice).
Answers: 3
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maxz = x1 + 2x2 +...

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