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max  z =  x1 + 3x2 s.t.      x1 + 2x2 ≥ 6          2x1 +  x2 ≤ 8           x1, x2 ≥ 0 For the LP above, which of the following is its standard form?     max z = x1 + 3x2 s.t.    x1 + 2x2 + s1     = 6        2x1 +  x2     + s2 = 8         x1, x2, s1, s2 ≥ 0     max z = x1 + 3x2 s.t.    x1 + 2x2 – e1     = 6        2x1 +  x2     – e2 = 8         x1, x2, e1, e2 ≥ 0     max z = x1 + 3x2 s.t.    x1 + 2x2 + s1     = 6        2x1 +  x2     – e2 = 8         x1, x2, s1, e2 ≥ 0     max z = x1 + 3x2 s.t.    x1 + 2x2 – e1     = 6        2x1 +  x2     + s2 = 8         x1, x2, e1, s2 ≥ 0

max  z =  x1 + 3x2 s.t.      x1 + 2x2 ≥ 6          2x1 +  x2 ≤ 8           x1, x2 ≥ 0 For the LP above, which of the following is its standard form?     max z = x1 + 3x2 s.t.    x1 + 2x2 + s1     = 6        2x1 +  x2     + s2 = 8         x1, x2, s1, s2 ≥ 0     max z = x1 + 3x2 s.t.    x1 + 2x2 – e1     = 6        2x1 +  x2     – e2 = 8         x1, x2, e1, e2 ≥ 0     max z = x1 + 3x2 s.t.    x1 + 2x2 + s1     = 6        2x1 +  x2     – e2 = 8         x1, x2, s1, e2 ≥ 0     max z = x1 + 3x2 s.t.    x1 + 2x2 – e1     = 6        2x1 +  x2     + s2 = 8         x1, x2, e1, s2 ≥ 0

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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  1. max  z =  x1 + 3x2

    s.t.      x1 + 2x2 ≥ 6

             2x1 +  x2 ≤ 8

              x1, x2 ≥ 0

    For the LP above, which of the following is its standard form?

       

    max z = x1 + 3x2

    s.t.    x1 + 2x2 + s1     = 6

           2x1 +  x2     + s2 = 8

            x1, x2, s1, s2 ≥ 0
       

    max z = x1 + 3x2

    s.t.    x1 + 2x2 – e1     = 6

           2x1 +  x2     – e2 = 8

            x1, x2, e1, e2 ≥ 0
       

    max z = x1 + 3x2

    s.t.    x1 + 2x2 + s1     = 6

           2x1 +  x2     – e2 = 8

            x1, x2, s1, e2 ≥ 0
       

    max z = x1 + 3x2

    s.t.    x1 + 2x2 – e1     = 6

           2x1 +  x2     + s2 = 8

            x1, x2, e1, s2 ≥ 0
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