In the Thomas transshipment model, revise the flow balancing constraint for Node $3$ if the capacity at Node $1$ is increased to $100$ units and inventory at Node $3$ must be at least $20$ units.

Question $17$ options:

$1)$

$($X$14+$ X$24)($X$35+$ X$36+$ X$37)>20$

$2)$

$($X$13+$ X$23)($X$35+$ X$36+$ X$37)>20$

$3)$

$($X$13+$ X$23)($X$35+$ X$36+$ X$37)<20$

$4)$

$($X$13+$ X$23)+($X$35+$ X$36+$ X$37)>20$