Question $1$ You decided to open a production facility. The following figure shows the process flow diagram. You hired $5$ employees, and each employee performs one task.

A $$ How many units can you produce in $8$ hours? $(2)$

B $$ Where do you have work$-$in$-$process inventory? $($show it on the above flow chart$)(2)$

C $$ What is the labor productivity? $(2)$

D $$ How many people do you hire at least to make Task A the new bottleneck? $(2)$

Now you decided to eliminate two tasks $($so now you have three employees$).$ And the following is the new process design.

E $$ What is the percent output increase? $(2)$

F $$ What is the percent labor productivity increase? $(2)$

G $$ What is the capacity utilization of Task E $($revised process$)?(2)$

H $$ State four practices to improve this process $(2)$

$1$

$2$

$3$

$4$

Question $2$ A drive$-$through process a Subway has three activities. The first activity is ordering; on average this process takes $1$ minute. Then, a car proceeds to the payment window; on average this process takes $2$ minute. The last activity is picking$-$up the order, which on average this process takes $1$ minute. There is a waiting before each of these activities. On average, there are usually $2$ cars waiting to place their orders; $2$ cars waiting to pay the total; and $2$ cars waiting to pick$-$up order. On average $10$ cars an hour enters the line, and assume no cars leave this process until they pick$-$up their order.

a $$ Clearly draw the process flow diagram for cars. Make sure you label each activity and buffer with appropriate Little$$s Law variables. $(6)$

b $$ On average, how long does the entire process flow take? $(3)$

Question $3$ Now, you supervise the construction of your new production facility. The following table shows the activities be done compete project.

Activity Time $($days$)$ Precedence

A $4$

B $6($A$)$

C $5($A$)$

D $7($A$)$

E $3($B$)$

F $6($B$)$

G $10($C$)$

H $15($D$)$

I $12($E$),($F$)$

J $2($G$),($H$)$

K $4($I$),($J$)$

A $$ Draw the network diagram $(3)$

B $$ What are the early start, late start, early finish and late finish time of each task? $($show them on the diagram$)(6)$

C $$ Identify the critical path $(2)$

Question $5$ You decided to open a big factory that produces commodity type standard bread for groceries.

A $$ State the most important competitive priority you should target to establish a profitable commodity bread production $(2)$

B $$ Compare the following four operational decisions for a highly customized $/$ gourmet bread production vs commodity bread production. $(6)$ Please keep it brief.

Gourmet bread

Commodity bread

Capacity utilization

What percent of the capacity will be used?

Capacity change

How difficult is it to grow your business? So what is your strategy to grow your operation?

Equipment and capital

What are the characteristics of equipment you need to purchase?