I have a Simplex Algorithm problem

It must be solved with

__minimum iterations__of simplex algorithm tables.

It can be solved with any technique except Matrix.

Can anyone suggest me a way to achieve this?

Problem:

\(\displaystyle

Min Z=4{X_1}+X_2+4{X_3}+6{X_4}

\)

St:

\(\displaystyle

2{X_1}+4{X_2}\ge10

\)

\(\displaystyle

9{X_2}+3{X_3}\ge18

\)

\(\displaystyle

-5{X_2}+5{X_4}\ge50

\)

\(\displaystyle

X_j\ge0

\)

\(\displaystyle

j=1,2,3,4\)

Thanks