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Identify the Different Sets of Basic Variables That Might Be MAX:8X1+4X2\mathrm { MAX } : \quad \mathbf { 8 \mathbf { X } _ { 1 } } + 4 \mathbf { X } _ { \mathbf { 2 } }

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Essay

Identify the different sets of basic variables that might be used to obtain a solution to this problem.
MAX:8X1+4X2\mathrm { MAX } : \quad \mathbf { 8 \mathbf { X } _ { 1 } } + 4 \mathbf { X } _ { \mathbf { 2 } }
Subject to:
5X1+5X2206X1+2X218X1,X20\begin{array} { l } 5 \mathbf { X } _ { 1 } + 5 \mathbf { X } _ { 2 } \leq 20 \\6 \mathbf { X } _ { 1 } + 2 \mathbf { X } _ { 2 } \leq 18 \\\mathbf { X } _ { 1 } , \mathbf { X } _ { \mathbf { 2 } } \geq 0\end{array}


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