Question: (20 pts) Use the dual simplex method manually to solve the following MinimizeZ=7x1+2x2+5x3+4x4, subject to 2x1+4x2+7x3+x458x1+4x2+6x3+4x483x1+8x2+x3+4x44 and xj0,forj=1,2,3,4. (20 pts) Use the dual simplex method

(20 pts) Use the dual simplex method manually to solve the following MinimizeZ=7x1+2x2+5x3+4x4, subject to 2x1+4x2+7x3+x458x1+4x2+6x3+4x483x1+8x2+x3+4x44 and xj0,forj=1,2,3,4.

(20 pts) Use the dual simplex method manually to solve the following Minimize Z 7x + 212 + 5x3 + 4.14, subject to 2Xi + 4X2 7xg + Xa 5 8Xl + + 6X, + 8 + + X' + 4xa 4 forj- 1. 2. 3.4.

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