A facility conducts three$-$day programs and operates $7$ days per week. A new

batch of $400$ starts a program on each day of the week except Saturday and

Sunday $($A person joining on Monday will leave on Thursday; one joining on

Tuesday will leave on Friday and so on$).$ Assume that January $1$ is a Monday

and the facility is just opening after a long Christmas break.

M$1$

$10$ min

M$2$

$10$ min

M$3$

$2$ min

M$4$

$4$ min

MBC $635$ Operations & Supply Chain Management

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$32/35$

A$.(3$ points$)$ Complete all entries in the table below.

Day Joining Leaving

Total in

the

System

Monday $400-400$

Tuesday $400-800$

Wednesday $400-1200$

Thursday $400400$

Friday

Saturday

Sunday

Monday

Tuesday

Wednesday

Thursday

Friday

Saturday

Sunday

Monday

Tuesday

Wednesday

Thursday

Friday

Saturday

Using data in week $2($from the $2$nd Monday to Sunday, shaded$),$ answer the

following parts.

B$.(2$ points$)$ What is the average flow rate per day?

C$.(1$ point$)$ What is the average flow time $($MLT$)?$

D$.(2$ points$)$ What is the $($average$)$ WIP?

E$.(2$ points$)$ Now apply Little's law to the process and show that the left$-$hand

side of the equation is equal to the right$-$hand side.