Q$6$: A manufacturing facility has six equal area departments $($labeled A through $F)$ located in a

rectangular building as shown below. Each department is rectangular with dimensions of $57$

meters. $"$In$"$ and "Out" represent row materials and finished goods storage areas respectively.

Departments A and $F$ are required to be apart at least $10$ meters Euclidean center$-$to$-$center

distance. All products start from the $"$In$"$ storage area and finish at the "Out" finished products

storage.

a$)$ Calculate the VDV for the layout $($assume rectilinear center$-$to$-$center distances$).$

b$)$ Generate a layout alternative that has a lower VDV $($show the new layout and compute

the new VDV$).$