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  1. max Z = x1 + x2
    subject to
    3x1 + 2x2 <= 5
    x2 <= 2
    and x1,x2 non-negative integers
  2. max Z = 2x1 + 20x2 - 10x3
    subject to
    2x1 + 20x2 + 4x3 <= 15
    6x1 + 20x2 + 4x3 = 20
    and x1,x2,x3 non-negative integers
  3. max Z = 3x1 + 12x2
    subject to
    2x1 + 4x2 <= 7
    5x1 + 3x2 <= 15
    and x1,x2 non-negative integers
  4. max Z = -3x1 + x2 + 3x3
    subject to
    -x1 + 2x2 + x3 <= 4
    2x2 - 3/2x3 <= 1
    x1 - 3x2 + 2x3 <= 3
    and x1,x2 >= 0 and x3 non-negative integers
  5. max Z = x1 + x2
    subject to
    3x1 + 2x2 <= 5
    x2 <= 2
    and x2 >= 0 and x1 non-negative integers
 
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