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.
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 following flow matrix.
|
|
Material
|
Welding
|
Drills
|
Lathes
|
Grinders
|
Benders
|
|
Material
|
0
|
100
|
50
|
0
|
0
|
50
|
|
Welding
|
25
|
0
|
0
|
50
|
0
|
0
|
|
Drills
|
25
|
0
|
0
|
0
|
50
|
0
|
|
Lathes
|
0
|
25
|
0
|
0
|
20
|
0
|
|
Grinders
|
50
|
0
|
100
|
0
|
0
|
0
|
|
Benders
|
10
|
0
|
20
|
0
|
0
|
0
|
Finally, Creasey has developed the following matrix to indicate distances between the work areas shown in the building schematic.
|
Distance Between Work Areas
|
|
|
1
|
2
|
3
|
4
|
5
|
6
|
|
1
|
|
20
|
40
|
20
|
40
|
60
|
|
2
|
|
|
20
|
40
|
20
|
40
|
|
3
|
|
|
|
60
|
40
|
20
|
|
4
|
|
|
|
|
20
|
40
|
|
5
|
|
|
|
|
|
20
|
|
6
|
|
|
|
|
|
|
What is the appropriate layout of the new building?