Assume that a $>=0$ and that BV $=\{$x$1,$s$1\}.$

$1.$ For which values of a does the LP have multiple optimal solutions?The tableau shown in Table $2\mathrm{.}9$ results when the simplex algorithm is used to solve a standard maximization LP$.$ Assume

that a $>=0$ and that BV $=\{$x$1,$s$1\}.$

$1.$ For which values of a does the LP have multiple optimal solutions?

z x$1$ x$2$ s$1$ s$2$ RHS

$10(1$ a$)0(2$ a$)1$

$0100-1$ a

$00($a $3)1($a $4)2$