$($ii$)$ linear programming formulation

Let $x_{ij}=$ number of units i shipped to client $j$ using the indices from the given table. $($It may b in any unused answer blanks.$)$

Max$32x_{11}+34x_{12}+32x_{13}+40x_{14}+34x_{21}+30x_{22}+28x_{23}+38x_{24}$

s$.$t$.$

Orders from Clifton Springs

Orders from Danville

Orders from$/$for Dummy Node

Orders for $D_1$

Orders for $D_2$

Orders for $D_3$

Orders for $D_4$

$x_{ij}0$ for all $i,j.$