Question: Q1. Solve the following lexicographic goal programming problem by using multiphase Simplex method (set up the first (initial) and the second (Iteration 1) Simplex tables,

Q1. Solve the following lexicographic goal programming problem by using multiphase Simplex method (set up the first (initial) and the second (Iteration 1) Simplex tables, find the entering and leaving variables in the second stage (Iteration 1) and stop) ( 40 points). Minz={p1+p2,n3,p4}s.t.x130(x1+n1p1=30)x215(x2+n2p2=15)2x1+3x250(2x1+3x2+n3p3=50)x1+2x240(x1+2x2+n4p4=40)xi,pi,ni0(i=1,2,3,4)

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