Show that the optimal objective function value for the ILP (integer linear programming) is lower than that for the optimal LP.
Given the following all-integer linear program:
Max 15x1 + 2x2
s. t. 7x1 + x2 < 23
3x1 - x2 < 5
x1, x2 > 0 and integer
optimal x1 = 2, x2 = 9, objective function = 48 < 48.8
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a. True b. False Indicate whether the statement is true or false
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