Please Give me step by step solution for this question

A small clinic is planning to optimize the layout of its departments to improve patient flow and staff efficiency. The clinic has five departments that need to be arranged on the same floor:

Reception $($R$)$

Waiting Area $($W$)$

Consultation Room $($C$)$

Pharmacy $($P$)$

Administration Office $($A$)$

Using a Muther Grid, the clinic's management team wants to decide the best layout by assessing the relationship importance between each pair of departments based on factors such as patient flow, staff communication, and proximity requirements.

The team has rated the importance of each department pair using the following criteria:

A: Absolutely necessary to be close

E: Especially important to be close

I: Important to be close

O: Okay to be near but not essential

U: Unimportant to be close

Based on these criteria, the relationships are:

Reception $($R$)$ and Waiting Area $($W$)$: A

Reception $($R$)$ and Consultation Room $($C$)$: E

Reception $($R$)$ and Pharmacy $($P$)$: O

Reception $($R$)$ and Administration Office $($A$)$: $U$

Waiting Area $($W$)$ and Consultation Room $($C$)$: E

Waiting Area $($W$)$ and Pharmacy $($P$)$: I

Waiting Area $($W$)$ and Administration Office $($A$)$: U

Consultation Room $($C$)$ and Pharmacy $($P$)$: E

Consultation Room $($C$)$ and Administration Office $($A$)$: U

Pharmacy $($ P $)$ and Administration Office $($A$)$: O

Questions:

Using the Muther Grid, determine the ideal arrangement of the five departments based on the given relationship importance.

Suggest a layout that minimizes walking distance for patients moving between the Reception, Waiting Area, and Consultation Room while maintaining the necessary closeness to the Pharmacy and Administration Office.

Discuss any trade$-$offs that may arise from this layout choice.