Question: Consider the following all integer programming problem: minimise 4x, + 3x2 subject to 2x + x2 25 X1 + 3x2 24 X1 21 *1,42 20

Consider the following all integer programming problem: minimise 4x, + 3x2 subject to 2x + x2 25 X1 + 3x2 24 X1 21 *1,42 20 and integer a. Using the graphical approach, determine the upper/lower bound of this all integer programming problem. [10 marks) b. Solve this problem using a branch-and-bound algorithm. Show your branch- and-bound tree, and state the reason for fathoming each branch. [15 marks]

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