$9\mathrm{.}2-3$

Consider the transportation problem having the following parameter table:

$\backslash$table$[[,,$Destination,Supply$],[,,1,2,3,4,5,6],[$Source$,1,13,10,22,29,18,0,7],[2,14,13,16,21,M,0,8],[3,3,0,M,11,6,0,9],[4,18,9,19,23,11,0,6],[5,30,24,34,36,28,0,5],[$Demand$,5,7,6,5,8,4,]]$

Use each of the following criteria to obtain an initial BF solution. Compare the values of the objective function for these solutions.

$9\mathrm{.}2-3(b)$

Use Vogel's approximation method to obtain an initial BF solution.

$\backslash$table$[[,$Destination,Supply,$],[,,1,2,3,4,5,],[$Source$,1,13,10,22,29,18,0,7],[2,\frac{?}{\text{b}\text{a}\text{r}}(14),13,16,21,1M,\frac{?}{\text{b}\text{a}\text{r}}(0),8],[3,\frac{?}{\text{b}\text{a}\text{r}}(3),\frac{?}{\text{b}\text{a}\text{r}}(0),1M,11,\frac{?}{\text{b}\text{a}\text{r}}(\frac{?}{\text{b}\text{a}\text{r}}(6)),\frac{?}{\text{b}\text{a}\text{r}}(0),9],[4,18,\frac{?}{\text{b}\text{a}\text{r}}(9),\frac{?}{\text{b}\text{a}\text{r}}(19),23,\frac{?}{\text{b}\text{a}\text{r}}(11),\frac{?}{\text{b}\text{a}\text{r}}(0),6],[,,,,,,,],[5,30,24,34,36,28,0,5],[$Demand$,5,7,\frac{?}{\text{b}\text{a}\text{r}}(6),5,8,4,]]$