No.

Source

Data

IBFS

Total Cost

Ex 1

[9]

${\left[c_{ij}\right]}_{3\times 4}=\left[3685;6125;7839\right]$

${\left[s_i\right]}_{3\times 1}=\left[20,28,17\right]$

${\left[d_j\right]}_{1\times 4}=\left[15,19,13,18\right]$

$x_{11}=11,x_{14}=9,$

$x_{22}=19,x_{24}=9,$

$x_{31}=4,x_{33}=13$

209

Ex 2

[12]

${\left[c_{ij}\right]}_{4\times 4}=\left[53610;68107;3167;821012\right]$

${\left[s_i\right]}_{4\times 1}=\left[30,10,20,10\right]$

${\left[d_j\right]}_{1\times 4}=\left[20,25,15,10\right]$

$x_{12}=15,x_{13}=15,$

$x_{21}=0,x_{24}=10,$

$x_{31}=20,x_{32}=0$

$x_{42}=10$

285

Ex 3

[13]

${\left[c_{ij}\right]}_{4\times 5}=\left[76459;85678;68965;57786\right]$

${\left[s_i\right]}_{4\times 1}=\left[40,30,20,10\right]$

${\left[d_j\right]}_{1\times 5}=\left[30,30,15,20,5\right]$

$x_{11}=5,x_{13}=15,$

$x_{14}=20,x_{22}=30,$

$x_{23}=0,x_{31}=15$

$x_{35}=5,x_{41}=10$

510

Ex 4

[7]

${\left[c_{ij}\right]}_{3\times 4}=\left[506010050;80407050;90703050\right]$

${\left[s_i\right]}_{3\times 1}=\left[20,38,16\right]$

${\left[d_j\right]}_{1\times 4}=\left[10,18,22,24\right]$

$x_{11}=10,x_{14}=10,$

$x_{22}=18,x_{23}=6,$

$x_{24}=14,x_{33}=16$

3320