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Basic feasible solution, permuting the row

  1. Oct 15, 2005 #1
    FOr the problem,
    Max(-x_1 - 2x_2 + 3x_5)
    x_1 + x_2 + 2x_3 + 3x_4 + x_5 <= 1
    2x_1 - x_2 + 4x_3 + 6x_1 - x_5 <= 2
    x_j >= 0, j= 1,......,5

    A) show that x_1 = 1, x_2= x_3= x_4= x_5 = 0 is a basic feasible solution.
    B) Find two different dictionaries..(i.e. Not obtained by permuting the rows) that have this point as a basic solution.
    C) How many different dictionaries have this point as basic solution.

    i am so lost.. especially in part b and c.
    please help..any hint or help would be really appreciated!
  2. jcsd
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