Question: 4. Develop the B&B tree for each of the following problems. For convenience, always select x1 as the branching variable at node 0 . (a)

$4. Develop the B\&B tree for each of the following problems.$

4. Develop the B\&B tree for each of the following problems. For convenience, always select x1 as the branching variable at node 0 . (a) Maximize z=3x1+2x2 subject to 2x1+5x2184x1+2x218x1,x20andinteger (b) Maximizez=2x1+3x2subjecttox1,x20andinteger7x1+5x2364x1+9x235 (c) Maximize z=2x1+2x2 subject to 2x1+5x2276x1+5x216x1,x20andinteger (d) Minimizez=5x1+4x2subjectto 3x1+2x252x1+3x27x1,x20andinteger (e) Maximizez=5x1+7x2subjectto 2x1+x2135x1+9x241x1,x20andinteger

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