Problem $2.$

Five departments $($A$,$ B$,$ C$,$ D$,$ and E$),$ which have equal areas are to be laid out in a facility. The following is the daily material flow between these departments.

a$)$ Use the graph theory approach to determine a layout for this facility. Place the departments into the layout sketch shown $($consider boundary relations only$).$

b$)$ Show two alternate layouts.

$\backslash$table$[[,A,B,C,D,E$