Pivot once as indicated in each simplex tableau. Read the solution from the result.
16.)
X1 X2 X3 S1 S2 S3 Z
[4 2 3 1 0 0 0?22]
[2 2 5 0 1 0 0?48]
[1 3 2 0 0 1 0 ?45]
[-3 -2 -4 0 0 0 1?0]
-3R3 + 2R1-----R1
2R3 + R4-------R3
2R3 + R4-------R4
X1 X2 X3 S1 S2 S3 Z
[5 -5 0 2 0 -3 0?-91]
[2 2 5 0 1 0 0?48]
[-1 4 0 0 0 2 0 ?90]
[-1 4 0 0 0 0 2?90]
1/2R3-----R3
1/2R4-----R4
X1 X2 X3 S1 S2 S3 Z
[5 -5 0 2 0 -3 0?-91]
[2 2 5 0 1 0 0?48]
[-1/2 2 0 0 0 1 0 ?45]
[-1/2 2 0 0 0 0 1?45]
Solution: X1 = -91, X2 = 0, X3 = 3, S1 = 0,S2 = 48, S3 = 45