MGT $201301,02$

Final Exam

May $2024$

$20$ points

$1.$ You are the project manager in charge of planning a student graduation party $3$ months

from today. Prepare the Statement$-$of$-$Work $($SOW$)$ and Work$-$Breakdown$-$Structure

$($WBS$)$ for this project.

$2.$ The following activities are part of a project to be scheduled using the Critical Path

Method:

Activity Immediate

Predecessor

Time

$($weeks$)$

A $6$

B A $3$

C A $7$

D C $2$

E B$,$ D $4$

F D $3$

G E$,$ F $7$

a$.$ Draw the network of the project tasks.

b$.$ What is the critical path $($the activities on the critical path$)?$

c$.$ How many weeks will it take to complete the project?

$3.$ The following table lists the critical$-$path tasks of a project. Use the expected time

formula to calculate the total project schedule.

Task No$.$ Optimistic Time

to Complete, a

Most$-$likely Time

to Complete, m

Pessimistic Time

to Complete, b

Expected Time

to Complete, ET

$1234$

$2123$

$34512$

$43411$

$5135$

Total Project Schedule

$4.$ Avis is a car rental company and is located three miles from the Los Angeles airport

$($LAX$).$ Avis is dispatching a bus from its offices to the airport every $2$ minutes. The

average traveling time $($a round trip$)$ is $20$ minutes.

How many Avis buses are traveling to and from the airport?

Hint: Remember Little$$s Law for calculating work$-$in$-$process inventory:

Inventory $=$ Throughput $*$ Flowtime

$5.$ An assembly line is to operate eight hours per day with a desired output of $240$ units per

day. There are N$=4$ workstations and their task times are $110$ sec$,100$ sec$,120$ sec$,$ and

$90$ sec$,$ respectively, for a total of T $=420$ sec$.$

a$.$ What is the cycle time of the line, C in seconds per unit

b$.$ What is the line efficiency?

Hint: Efficiency $=$

$$

$6.$ Poka$-$yoke is a Japanese term that means "mistake$-$proofing" or "error prevention". How

do you apply this methodology to make a service process fail$-$safe?

$7.$ A cafeteria$$s serving line has a coffee urn $($percolator$)$ from which students serve

themselves. Arrivals at the urn follow a Poisson distribution at the rate of three per

minute. In serving themselves, students take about $15$ seconds, exponentially

distributed.

Arrival rate $=$

$$

Service rate $=$

$$

a$.$ How many customers would you expect to see on average in the line for

coffee?

b$.$ How long would you expect it to take to get a cup of coffee?

Remember the following equations for the length of the line and the wait time in

the line:

$=$

$$

$=$

$$

$8.$ Aggregate sales and operations planning is done at three different time ranges. What

are they? Why aggregate planning is important?

$9.$ What are the four major costs of production that should be accounted for in production

planning?

$10.$ What do we mean by Total Quality Management in a firm?

$11.$The Quality Assurance Department is the primary organizational unit responsible for

the quality of the company$$s products and services.$$ Do you agree with this statement?

If not, why not and then who is responsible for quality?

$12.$ In an agreement between a supplier and a customer, the supplier must ensure that all

parts are within design tolerance before shipment to the customer. What would be the

effect of this agreement on the cost$-$of$-$quality to the customer?

$13.$ A customer call center is evaluating customer satisfaction surveys to identify the most

prevalent quality problems in their process. Specific customer complaints have been

analyzed and grouped into eight different categories. Which quality $($i$.$e$.,$ six sigma$)$

analytical tool would be most helpful to management here?