Identifying Issues in Solving Linear Programs

Consider the following linear program

M

a

x

Z

$=$

x

$1$

$+$

x

$2$

subject to

x

$1$

$+$

$2$

$$

x

$2$

$<=$

$6$

x

$1$

$$

$2$

$$

x

$2$

$<=$

$3$

x

$1$

$,$

x

$2$

$>=$

$0$

Ignoring any other changes, suppose that both constraints in the above LP above become greater$-$than$-$or$-$equal$-$to constraints $(>=),$ then the LP

Identifying Issues in Solving Linear Programs

Consider the following linear program

M

a

x

Z

$=$

x

$1$

$+$

x

$2$

subject to

x

$1$

$+$

$2$

$$

x

$2$

$<=$

$6$

x

$1$

$$

$2$

$$

x

$2$

$<=$

$3$

x

$1$

$,$

x

$2$

$>=$

$0$

Ignoring any other changes, suppose that both constraints in the above LP above become greater$-$than$-$or$-$equal$-$to constraints $(>=),$ then the LP

has a bounded feasible region

has an unbounded feasible region

has an unbounded objective function

is infeasible

Exactly two of these answers are correct