Question: a) Use the Big M method to solve the following LP: min z= 4x1 + 4x2+ x3 s.t x1 + x2 + x3 = <

a) Use the Big M method to solve the following LP:

min z= 4x1 + 4x2+ x3

s.t x1 + x2 + x3 =< 2

2x1+x2 =< 3

2x1 + x2 + 3x3 >= 3

x1, x2, x3 > = 0

b) Use the two-phase simplex method to solve the previous problem (The LP given in part a).

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