Solve the LPP by using two$-$phase methodMinimizeZ $=4$x $+3$v $+9$z$6$x$+$ y $+6$z $>=12$Subject to $2$x $+4$y $+6$z $>=15$x$,$ y$,$ z $>=0$ Instruction:

Answer all the questions

Duration: ${13}^{th}$ March $2024-{23}^{th}$ March $2024$

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Compute the first three Jacobi iterations, Gauss$-$Seidel iterations for the given

system, using $0$ as the initial value for each variable. Then find the exact solution and

compare,

$201+3x2+53=-26$

$-21-102+3x$

Use the Big M method to solve the following LPs:

minz$=4x1+4x2+x3$

$s.t.$

$x1+x2+x32$

$2x1+x23$

$2x1+x2+3x33$

$x1,x2,x30$