$7.$ Aero Maintenance is a small aircraft engine main Its new administrator, Ann Daniel, decides to improve material flow in the facility, using the process layout method she studied at Wichita State University. The current layout of Aero Maintenance's eight departments is shown below in Fig $1.$ The only physical restriction perceived by Daniel is the need to keep the entrance in its current location. All other departments can be moved to a different work area $($each $10$ feet square$)$ if layout analysis indicates a move would be beneficial. First, Daniel analyzes records to determine the number of material movements among departments in an average month. These data are shown in Figure $2.$ Her objective, Daniel decides, is to lay out the departments so as to minimize the total movement $($distance traveled$)$ of material in the facility.

Area A Current

Area B Aero

Maintenance Layout Area C

Area D

Entrance $(1)$

Receiving $(2)$

Parts $(3)$

Metallurgy $10(4)$

$(5)$ Breakdown

Assembly $()$

Inspection $(7)$

Test $(8)$

$10$

Area E

Area F

Area G

Arga H

$40-$

Figure $1$

Department

$100$

$100$

$0$

$0$

$0$

Entrance $(1)$

$0$

$0$

$5020$

$0$

$0$

$0$

Receving $(2)$

$30$

$30$

$0$

$0$

$0$

Parts $(3)$

$20$

$0$

$0$

$20$

Metallurgy $(4)$

$20$

$0$

$10$

Breakdown $(5)$

$30$

Assembly $(6)$

$0$

Inspection $(7)$

Test $(8)$

Figure $2$

Daniel assumes that adjacent departments, such as entrance $($now in work area A$)$ and receiving $($now in work area B$),$ have a walking distance of $10$ feet. Diagonal departments are also considered adjacent and assigned a distance of $10$ feet.

Question:

Given the above information, redesign Aero Maintenance's layout to improve its material flow efficiency.