Student Question

Maximize Z

$=$

$9$

X

$1$

$+$

$1$

$2$

X

$2$

subject to X

$1$

$+$

X

$2$

$1$

$0$

X

$1$

$+$

$2$

X

$2$

$1$

$2$

X

$1$

$,$

X

$2$

$^$

$3$

$0$

Solve the above LP problem by the simplex method. Provide the values of the basic variables

$($

BV

$)$

at the second tableau and the optimal solution of the LP

$.$

Select one: BV: s

$1$

$=$

$1$

$0$

$,$

s

$2$

$=$

$1$

$2$

$|$

Optimal sol: X

$1$

$=$

$8$

$,$

X

$2$

$=$

$0$

$,$

Z

$=$

$7$

$2$

BV: s

$1$

$=$

$0$

$,$

s

$2$

$=$

$1$

$2$

$|$

Optimal sol: X

$1$

$=$

$8$

$,$

X

$2$

$=$

$0$

$,$

Z

$=$

$7$

$2$

BV: s

$2$

$=$

$0$

$,$

x

$2$

$=$

$0$

$|$

Optimal sol: X

$1$

$=$

$8$

$,$

X

$2$

$=$

$2$

$,$

Z

$=$

$9$

$6$

None of the options provided BV: s

$1$

$=$

$4$

$,$

x

$2$

$=$

$6$

$|$

Optimal sol: X

$1$

$=$

$8$

$,$

X

$2$

$=$

$2$

$,$

Z

$=$

$9$

$6$