Problem $2$: Currently three $\backslash ($ m $\backslash )$ achines are in a $\backslash ($ m $\backslash )$ anufacturingfacility as shown in a row. The product routing inform ation and production rates are as follows:

Assume that I$/$O points for each departm ent is at the lower left corner of the departm ent.

a$)$ What is the total m aterial handling distance for the current layout?

b$)$ By switching the locations of the department, generate at least one better layout.