Q. Using the two-phase method

(a) Show that there exists c E R satisfying 2x1 2x2 + 3x3 = 10 X1 x2 3x3 x; >0 for each j - if and only if the following linear program has minimum value 0 min x;20,z;20 21 + 22 s.t. 2x1 2x2 + 3x3 + 21 = 10 x1 x2 3x3 + 22 = 6