Question: Problem 11-1 (Algorithmic) Indicate whether the following linear program is an all-integer linear program or a mixed-integer linear program. Max 29 x 1 + 22

Problem 11-1 (Algorithmic)

  1. Indicate whether the following linear program is an all-integer linear program or a mixed-integer linear program.
    Max 29x1 + 22x2
    s.t.
    3x1 + 1.5x2 385
    1.2x1 + 3x2 265
    1x1 + 1x2 160
    x1, x2 0 and x2 integer
    This is a linear program. Write the LP Relaxation for the problem but do not attempt to solve. If required, round your answers to one decimal place. Its LP Relaxation is:
    Max x1 + x2
    s.t.
    x1 + 1.5x2
    1.2x1 + x2
    x1 + x2
    x1 , x2
  2. Indicate whether the following linear program is an all-integer linear program or a mixed-integer linear program.
    Max 2x1 + 4x2
    s.t.
    2x1 + 5x2 5
    3x1 + 5x2 13
    x1, x2 0 and integer
    This is a linear program. Write the LP Relaxation for the problem but do not attempt to solve. If required, round your answers to one decimal place. Its LP Relaxation is:
    Max x1 + x2
    s.t.
    2x1 + x2
    x1 + 5x2
    x1 , x2

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