Solve this problem using branch and bound algorithm.

Consider the following integer program
maximize z = 5x1 + 4x2
subject to x1 + x2 ? 5
             10x1 + 6x2 ? 45
              x1, x2 ? 0 integer
The optimal solution to the linear programming relaxation is x1 = 3.75, x2 = 1.25, and z = 23.75. Solve this problem using the branch-and-bound algorithm. Start by branching on x1.

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