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The Primal Problem Is
Min
2x1 + 5x2 + 4x3 \ge

Question 26

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The primal problem is
Min
2x1 + 5x2 + 4x3
s.t.
x1 + 3x2 + 3x3 \ge 30
3x1 + 7x2 + 5x3 \ge 70
x1, x2, x3 \ge 0
The final tableau for its dual problem is u1u2 s1 s2 s3 Basis cB3070000u270013/401/41/2 s20003/211/20u130105/403/41/2zj3070150550cjzj001505\begin{array} { c c | c c c c c | c } & & \mathrm { u } _ { 1 } & \mathrm { u } _ { 2 } & \mathrm {~s} _ { 1 } & \mathrm {~s} _ { 2 } & \mathrm {~s} _ { 3 } & \\\text { Basis } & \mathrm { c } _ { \mathrm { B } } & 30 & 70 & 0 & 0 & 0 & \\\hline \mathrm { u } _ { 2 } & 70 & 0 & 1 & 3 / 4 & 0 & - 1 / 4 & 1 / 2 \\\mathrm {~s} _ { 2 } & 0 & 0 & 0 & - 3 / 2 & 1 & - 1 / 2 & 0 \\\mathrm { u } _ { 1 } & 30 & 1 & 0 & - 5 / 4 & 0 & 3 / 4 & 1 / 2 \\\hline & z _ { \mathrm { j } } & 30 & 70 & 15 & 0 & 5 & 50 \\& \mathrm { c } _ { \mathrm { j } } - \mathrm { z } _ { \mathrm { j } } & 0 & 0 & - 15 & 0 & - 5 &\end{array} Give the complete solution to the primal problem.

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