Consider the following all-integer linear program: Max x1 + x2 s.t. 4x1 + 6x2 ≤ 22 x1 + 5x2 ≤...

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Basic Math

Consider the following all-integer linear program:

Max

x1 + x2

s.t.

4x1 + 6x2 ≤ 22

x1 + 5x2 ≤ 15

2x1 + x2 ≤ 9

  x1, x2 ≥ 0and integer

  1. Solve the LP Relaxation of this problem.
    The optimal solution to the LP Relaxation is x1= ___, x2 = .____________

    Its value is ___________
  2. Find the optimal integer solution.
    The optimal solution to the LP Relaxation is x1= _____x2 = __________
    Its value is _______

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