Munson$$ Manufacturing, in$$ Gainesville, Florida, wants to arrange its four work centers so as to minimize interdepartmental parts handling costs. The flows and existing facility layout are shown in the figures below.

Figure $1.$ Parts Moved Between Work Centers$$

Figure $2.$ Existing Layout

A

B

C

D

$|30\text{'}|30\text{'}|30\text{'}|$

$$

Part $2$

$$a$)$ For the existing$$ layout, the cumulative $"$load$$distance$"$ or$$ "movement $$cost$"$

$$

$88000$ feet $($enter your response as a whole$$ number$).$

Part $3$

Based on the flows shown in the$$ matrix, one should expect that the centers and

C

will be next to each other as they have the highest number of moves between each other.

Part $4$

Based on the flows shown in the$$ matrix, one should expect that centers and

D

will be next to each other as they have the second highest number of moves between each other.

Part $5$

$$b$)$ The aim is to improve the layout so that the total$$ "movement cost" can be reduced. Functional locations for and have been fixed. In the improved$$ layout, the work center that should be located between them$$ is:

A

C

D

$|30\text{'}|30\text{'}|30\text{'}|$

Part $6$

The cumulative distance based on the overall movement of parts between work centers for this layout$=$

$$

enter your response here feet $($enter your response as a whole$$ number$).$