Consider the LP

Very sorry, this problem will need a wide screen

Using the Big$-$M method $($first convert all negative rhs$\text{'}$s$)$ and letting M $=500$ the initial Big$-$M simplex tableau $($fix row$0)$ is

Assume columns labeled as

and the initial non$-$big M tableau $($

$\text{'}$s not in BV$)$ is

continuing to the end, the optimal value of

is

with

equal

and

equal