Determine from a Review of the Following Tableau Whether the Linear

question 39

Essay

Determine from a review of the following tableau whether the linear programming problem has multiple optimal solutions. $$\begin{array} { c c | c c c c c | c } \text { Basis } & \mathrm { C } _ { \mathrm { B } } & \mathrm { x } _ { 1 } & \mathrm { x } _ { 2 } & \mathrm {~s} _ { 1 } & \mathrm {~s} _ { 2 } & \mathrm {~s} _ { 3 } & \\\hline \mathrm { s } _ { 3 } & 0 & 0 & 0 & 1 & - 1 / 5 & 8 / 6 & 6 \\\mathrm { x } _ { 2 } & 2 & 0 & 1 & 0 & 1 / 5 & - 3 / 5 & 1 \\\mathrm { x } _ { 1 } & 3 & 1 & 0 & 0 & 1 / 5 & 2 / 5 & 4 \\\hline & \mathrm { z } _ { \mathrm { j } } & 3 & 2 & 0 & 0 & 0 & 14 \\& \mathrm { c } _ { \mathrm { j } } - \mathrm { z } _ { \mathrm { j } } & 0 & 0 & 0 & - 1 & 0 &\end{array}$$

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