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Consider the Following Integer Programming Problem Z=2x1+x2\mathrm { Z } = 2 x _ { 1 } + x _ { 2 }

Question 44

Short Answer

Consider the following integer programming problem. Solve it using the branch and bound method. What are the optimal values of x1, x2 and Z?
Maximize Z=2x1+x2\mathrm { Z } = 2 x _ { 1 } + x _ { 2 }
Subject to: 2x1+2x27\quad 2 x _ { 1 } + 2 x _ { 2 } \leq 7
                   4x1+x211~~~~~~~~~~~~~~~~~~~4 x _ { 1 } + x _ { 2 } \leq 11
                   x1~~~~~~~~~~~~~~~~~~~x _ { 1 } and x20x _ { 2 } \geq 0

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