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Comment on the Solution Shown in This Simplex Tableau

Question 42

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Comment on the solution shown in this simplex tableau. x1x2x3 s1 s2a1 Basis CB12500Ma1M3101214x3511/2101/204zj5+3M2.5+M5M2.5+2MM4M+20cjzj43M.5M0M2.52M0\begin{array} { c c | c c c c c c | c } & & \mathrm { x } _ { 1 } & \mathrm { x } _ { 2 } & \mathrm { x } _ { 3 } & \mathrm {~s} _ { 1 } & \mathrm {~s} _ { 2 } & \mathrm { a } _ { 1 } & \\\text { Basis } & \mathrm { C } _ { \mathrm { B } } & 1 & 2 & 5 & 0 & 0 & - \mathrm { M } & \\\hline \mathrm { a } _ { 1 } & - \mathrm { M } & - 3 & - 1 & 0 & - 1 & - 2 & 1 & 4 \\\mathrm { x } _ { 3 } & 5 & 1 & 1 / 2 & 1 & 0 & 1 / 2 & 0 & 4 \\\hline & \mathrm { z } _ { \mathrm { j } } & 5 + 3 \mathrm { M } & 2.5 + \mathrm { M } & 5 & \mathrm { M } & 2.5 + 2 \mathrm { M } & - \mathrm { M } & - 4 \mathrm { M } + 20 \\& \mathrm { c } _ { \mathrm { j } } - \mathrm { z } _ { \mathrm { j } } & - 4 - 3 \mathrm { M } & - .5 - \mathrm { M } & 0 & - \mathrm { M } & - 2.5 - 2 \mathrm { M } & 0 &\end{array}

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