Problem $8-8($Algo$)$

An initial solution has been given to the following workcenter layout problem. Each location is $120$ feet long and $60$ feet wide as shown in the following figure. Use the centers of departments for distances and measure distance rectilinearly. For example, the distance between A and B in the initial layout is $120$ feet and the distance between A and D is $300$ feet.

$$

$$DEPARTMENT$$ABCDDEPARTMENT

A

$0102555$

B

$0105$

C

$015$

D

$0$

Given the flows described and a cost of $$5$ per unit per foot, compute the total cost for the layout.