Question $1(18$ points$)$: Consider the patient flow in the Shouldice Hospital case. As in the case, assume that $27$ patients arrive per day, Sunday to Thursday, and there are no arrivals on Friday and Saturday. Of the $27$ patients that arrive on a day; $13$ leave in $3$ days and $14$ leave in $4$ days.

Patient Flow Table

Day In

$($Afternoon of the day$)$ Out

$($Morning of the day$)$ In the system

$($Patients needing beds in night$)$

Sunday $27027$

Monday $27027+27-0=54$

Tuesday $27054+27-0=81$

Wednesday $271381+2713=95$

Thursday $2714+13=2795+2727=95$

Friday $014+13=2795+0-27=68$

Saturday $014+13=2768+027=41$

Sunday $2714+13=2741+2727=41$

Monday $271441+2714=54$

Tuesday $27054+270=81$

In answering the questions below, assume that patient is the flow unit.

Part $1(4$ points$)$: The flow time for a patient is the amount of time the patient spends in the hospital. It is $3$ days for some and $4$ days for others. What is the average flow time $($in days$)$ for patients?

Answer:

Work:

Part $2(4$ points$)$: Using arrivals over $7$ days $($Monday to Sunday$),$ what is the average daily flow rate of patients?

Answer:

Work:

Part $3(4$ points$)$: Calculate the average WIP by using Little$$s Law and your answers in Parts $1$ and $2.$

Answer:

Work:

Part $4(6$ points$)$: Does the average WIP you calculated in Part $3$ correspond to any numbers in the Flow Table? Which numbers? What is the relationship?