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** check different types of BigM method examples
Algorithm and examples
1. If you want simplex solution in your study format, then mail me one simplex problem with detailed solution steps. If possible, I will try my best to develop it.
2. To solve a bug, code is changed (on 30-Oct-18), So it may be possible previously working problem may give error (1% chances).
Method
Solve the Linear programming problem using
BigM method calculator
Type your linear programming problem


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  1. max Z = 3x1 + 5x2 + 4x3
    subject to
    2x1 + 3x2 <= 8
    2x2 + 5x3 <= 10
    3x1 + 2x2 + 4x3 <= 15
    and x1,x2,x3 >= 0
  2. max Z = 5x1 + 10x2 + 8x3
    subject to
    3x1 + 5x2 + 2x3 <= 60
    4x1 + 4x2 + 4x3 <= 72
    2x1 + 4x2 + 5x3 <= 100
    and x1,x2,x3 >= 0
  3. max Z = 4x1 + 3x2
    subject to
    2x1 + x2 <= 1000
    x1 + x2 <= 800
    x1 <= 400
    x2 <= 700
    and x1,x2 >= 0
  4. min Z = x1 + x2
    subject to
    2x1 + 4x2 >= 4
    x1 + 7x2 >= 7
    and x1,x2 >= 0
  5. min Z = 600x1 + 500x2
    subject to
    2x1 + x2 >= 80
    x1 + 2x2 >= 60
    and x1,x2 >= 0
  6. min Z = 5x1 + 3x2
    subject to
    2x1 + 4x2 <= 12
    2x1 + 2x2 = 10
    5x1 + 2x2 >= 10
    and x1,x2 >= 0
  7. max Z = x1 + 2x2 + 3x3 - x4
    subject to
    x1 + 2x2 + 3x3 = 15
    2x1 + x2 + 5x3 = 20
    x1 + 2x2 + x3 + x4 = 10
    and x1,x2,x3,x4 >= 0
  8. max Z = 3x1 + 9x2
    subject to
    x1 + 4x2 <= 8
    x1 + 2x2 <= 4
    and x1,x2 >= 0
  9. max Z = 3x1 + 2x2 + x3
    subject to
    2x1 + 5x2 + x3 = 12
    3x1 + 4x2 = 11
    and x2,x3 >= 0 and x1 unrestricted in sign
  10. max Z = 3x1 + 3x2 + 2x3 + x4
    subject to
    2x1 + 2x2 + 5x3 + x4 = 12
    3x1 + 3x2 + 4x3 = 11
    and x1,x2,x3,x4 >= 0
  11. max Z = 6x1 + 4x2
    subject to
    2x1 + 3x2 <= 30
    3x1 + 2x2 <= 24
    x1 + x2 >= 3
    and x1,x2 >= 0
  12. max Z = 3x1 + 5x2
    subject to
    x1 - 2x2 <= 6
    x1 <= 10
    x2 >= 1
    and x1,x2 >= 0
  13. max Z = 6x1 + 4x2
    subject to
    x1 + x2 <= 5
    x2 >= 8
    and x1,x2 >= 0
  14. max Z = 6x1 + 4x2
    subject to
    -x1 - x2 >= -5
    x2 >= 8
    and x1,x2 >= 0
 
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