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Draw the Network Representation of This LP Model \quad X41X_{41}

Question 5

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Draw the network representation of this LP model. What type of problem is it?
MAX \quad X41X_{41}
Subject to:
X41X12X13=0X12X24=0X13X34=0X24+X34X41=00X1250X1340X2430X3420X41\begin{array}{l}\mathrm{X}_{41}-\mathrm{X}_{12}-\mathrm{X}_{13}=0 \\\mathrm{X}_{12}-\mathrm{X}_{24}=0 \\\mathrm{X}_{13}-\mathrm{X}_{34}=0 \\\mathrm{X}_{24}+\mathrm{X}_{34}-\mathrm{X}_{41}=0 \\0 \leq \mathrm{X}_{12} \leq 5 \\0 \leq X_{13} \leq 4 \\0 \leq X_{24} \leq 3 \\0 \leq X_{34} \leq 2 \\0 \leq X_{41} \leq \infty\end{array}

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