Question: 1. Use the M-Method to solve the LP problem below. Minimize z = 2x2 - 4x + 3x, subject to 5x - 6x2 + 2x,

1. Use the M-Method to solve the LP problem below. Minimize z = 2x2 - 4x + 3x, subject to 5x - 6x2 + 2x, 25 - X, +3x+5x, 28 2x + 5x, - 4x, 54 X,X, X, 20 2. Resolve the LP problem in no. 1 using the Two-phase method. a. Form the LP problem for Phase 1 Minimize z = 2x, - 4x, +3x, subject to 5x -6x, +2x, 25 - X+3x, +5x, 28 2x+5x, - 4x, 54 *.*..*, 20 3. Transform the following Primal LP to Dual LP Minimize za z = 2x, - 4x2 + 3x subject to 5x2 - 6x +2x, 25 -X,+3x, +5x, 28 2x +5x2 - 4x, 54 *.*..*, 20 4. Transform the Dual LP to its Primal LP Minimize w=50%, +20y, +30y, +35y +909, +20y. subject to Sy; + y2 + 7y,+Sy+12y 25 5y + y +6y, +5y + 6y + y 26 3y, -y: -9y, +5y. -9y, 23 yyy,20 5. Use dual simplex method to solve the LP problem in no. 1. Minimize := 26,-4x+3x, subject to 5 -6x + 2x, 25 -x+3x+ 5x, 28 2x+5x2 - 4x, 54 X, X, 20

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