Roy Creasey Enterprises, a machine shop, is planning to move to a new, larger location. The new

building will be $60$ feet long by $40$ feet wide. Creasey envisions the building as having six distinct

production areas, roughly equal in size. He feels strongly about safety and intends to have marked

pathways throughout the building to facilitate the movement of people and materials. See the following

building schematic.

room $1$ room $2$ room $3$

room $4$ room $5$ room $6$

His foreman has completed a month$-$long study of the number of loads of material that have moved from

one process to another in the current building. This information is contained in the flow matrix on the left

below. Finally, Creasey also developed a matrix to indicate distances between the work areas shown in

the building schematic, shown on the right below.

Distance $($in feet$)$

The cumulative distance based on the overall movement of material between processes for this layout $=$