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  1. min Z = x1 + x2
    subject to
    2x1 + x2 >= 4
    x1 + 7x2 >= 7
    and x1,x2 >= 0
  2. min Z = 5x1 + 2x2 + 10x3
    subject to
    x1 - x3 <= 10
    x2 + x3 >= 10
    and x1,x2,x3 >= 0
  3. max Z = 5x1 + 8x2
    subject to
    3x1 + 2x2 >= 3
    x1 + 4x2 >= 4
    x1 + x2 <= 5
    and x1,x2 >= 0
  4. min Z = 3x1 + 5x2
    subject to
    2x1 + 8x2 >= 40
    3x1 + 4x2 >= 50
    and x1,x2 >= 0
  5. max Z = 3x1 + 2x2 + 2x3
    subject to
    5x1 + 7x2 + 4x3 <= 7
    -4x1 + 7x2 + 5x3 >= -2
    3x1 + 4x2 - 6x3 >= 29/7
    and x1,x2,x3 >= 0
  6. min Z = x1 - 2x2 - 3x3
    subject to
    -2x1 + x2 + 3x3 = 2
    2x1 + 3x2 + 4x3 = 1
    and x1,x2,x3 >= 0
 
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