Constant

quantity (k) in dummy row/column

Optimum allocations

(x_ij)

Optimum total cost for BTP

(k) × supply/demand at dummy source/destination

Optimum total cost for UTP

(TC)

150

$x_{11}=225$ , $x_{14}=100$ ,

$x_{22}=80$ , $x_{23}=320$ ,

$x_{32}=300$ ,

$x_{41}\left(\text{Dummy}\right)=5$ ,

$x_{42}\left(\text{Dummy}\right)=220$

39,310

150 × 225 = 33,750

5560

1000

230,560

1000 × 225 = 225,000

1050

241,810

1050 × 225 = 236,250