Question:
Simplex Method and Gauss-Jordan elimination method.
1) Using the simplex method, solve the following linear programming equation:
Maximize: P= 5x + 2y
Subject to: 4x + 3y <= 30
2x ? 3y <= 6
x>=0 , y>=0
2) Solve the system of linear equation using the Gaus- Jordan elimination method.
a)3x ? 3y + 4z = 16
2x + y ? 2z = -1
X + 4y ? 8z = -18
b)3x ? 2y + 4z = 11
2x ? 4y + 5z = 4
X + 2y ? z = 10
c)x ? 2y + 3z + 4w = 17
2x + y - 2z - 3w = -9
3x ? y ? 2z ? 4w = 0
4x + 2y -3z + w = -2