Question: Use the branch-and-bound algorithm to solve the following integer program: [ max quad mathrm{z}=3 x_{1}+5 x_{2}+8 x_{3}+3 x_{4}+10 x_{5}+x_{6} ] s.t. x 1+2 x 2+5

Use the branch-and-bound algorithm to solve the following integer program: \[ \max \quad \mathrm{z}=3 x_{1}+5 x_{2}+8 x_{3}+3 x_{4}+10 x_{5}+x_{6} \] s.t. x1+2x2+5x3+2x4+8x5+3x612xibinary, i=1,2,...,6Assignment: a) Use the branch-and-bound algorithm to solve this IP. If you can, solve the LP at each node in the tree by hand. If you cannot, use BLP.

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