Problem: $2$ Consider the layout of five equal$-$sized departments. The material flow matrix is given in the figure below.

a$.$ Develop the final adjacency graph using the graph$-$based procedure.

b$.$ Develop a block layout based on the final adjacency graph obtained in part a$.$

$\backslash$table$[[$Dept$,$A$,$B$,$C$,$D$,$E$],[$A$,-,0,5,25,15],[$B$,0,-,20,30,25],[$C$,0,25,-,40,30],[$D$,30,5,20,-,0],[$E$,20,30,5,10,-]]$