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. From/To 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 1 2 3 4 5 6 1 0 20 40 20 40 60 2 0 20 40 20 40 3 0 60 40 20 4 0 20 40 5 0 20 6 0 One of the layouts that could be designed is: Room 1 = Benders Room 2 = Materials Room 3 = Welding Room 4 = Drills Room 5 = Grinders Room 6 = Lathes The cumulative distance based on the overall movement of material between processes for this layout is ___ feet (enter your response as a whole number).

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter5: Network Models

Section5.3: Assignment Models

Problem 18P

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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.


From/To	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

	1	2	3	4	5	6
1	0	20	40	20	40	60
2		0	20	40	20	40
3			0	60	40	20
4				0	20	40
5					0	20
6						0

One of the layouts that could be designed is:

Room 1 = Benders	Room 2 = Materials	Room 3 = Welding
Room 4 = Drills	Room 5 = Grinders	Room 6 = Lathes

The cumulative distance based on the overall movement of material between processes for this layout is ___ feet (enter your response as a whole number).

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