Question $2.$ The distance matrix for a $6-$node logistics network $(0$ warehouse nodes and $5$ other

customers$)$ is given below:

$012345$

$0090120150110160$

$19008010070140$

$212080011090130$

$3150100110095180$

$41107090950150$

$51601401301801500$a$)$ Find the TSP solution using the Nearest Neighbor Algorithm.

b$)$ Find the TSP solution using the Insertion Algorithm.

c$)$ Find the TSP solution using the Clarke & Wright $($Savings$)$ Algorithm.