Question $1$

$1$ pts

Find the minimum cost solution for the transportation problem detailed in the table below.

$\backslash$table$[[$Costs$,$D $1,$D $2,$D $3,$Supply$],[$S $1,30,12,5,20],[$S $2,10,14,12,30],[$S $3,20,11,25,75],[$Demand$,40,60,55,]]$

a$.$ Is the transportation problem balanced $,$ if not, where is the unbalance

b$.$ What is the optimal solution? $ $$

c$.$ What if $17$ units needed to be sent to $S2-$ D$2.$ What is the cost:

d$.$ Based on letter c$.,$ what if supply at $S3$ increased by $75$ units. what is the total cost?

$[$Select$]$