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Solve the Following LP Problem Graphically Using Level Curves 8X1+12X2\quad 8 \mathrm { X } _ { 1 } + 12 \mathrm { X } _ { 2 }

Question 55

Short Answer

Solve the following LP problem graphically using level curves.
MIN: 8X1+12X2\quad 8 \mathrm { X } _ { 1 } + 12 \mathrm { X } _ { 2 }
Subject to:
2X1+1X2162X1+3X2367X1+8X2112X1,X20\begin{array} { l } 2 \mathrm { X } _ { 1 } + 1 \mathrm { X } _ { 2 } \geq 16 \\2 \mathrm { X } _ { 1 } + 3 \mathrm { X } _ { 2 } \geq 36 \\7 \mathrm { X } _ { 1 } + 8 \mathrm { X } _ { 2 } \geq 112 \\\mathrm { X } _ { 1 } , \mathrm { X } _ { 2 } \geq 0\end{array}

Correct Answer:

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