Q$\mathrm{.}3-$ Consider the following trans. problem, where the unit transportation costs

$($ $$/$unit$)$ are as follows from source $i$ to destination $j$ :

Cij; $10,1,5,9.$ Where $i=1,j=1,2,3,4.$ Respectively.

Cij ;$11,2,3,7,$ Where $i=2,j=1,2,3,4.$

Cij; $0,7,9,11.$ Where $i=3,j=1,2,3,4.$

Cij;$4,8,6,14.$ Where $i=4,j=1,2,3,4.$

Also, source and destination constraints $($in tons$)$ are given as follows:

Source constraints are :$90,60,45$ and $75$ for sources $1,2,3$ and $4$ respectively.

Destination Constraints : $40,75,55$ and $100$ for destinations $1,2,3$ and $4$ respec.

a$-$ Determine the Starting Feasible Solution of this trans. problem by using

"Vogel Approximation Method "and find the Total Transportation Cost.

b$-$ Use this SBFSolution and find the Optimal Feasible Solution. What is the Tota Transportation Cost now?