Question Q u e s t i o n s
1. A manufacturing company has a small production line dedicated to the production of a
particular product. The line has four stations in serial. Inputs arrive at station 1 and the
output from station 1 becomes the input to station 2. The output from station 2 is the input
to station 3 and so on. The output from station 4 is the fi nished product. Station 1 can
process 2,700 units per month, station 2 can process 2,500/month, station 3 can process
2,300/month, and station 4 can process 2,100/month. What station sets the maximum possible
output from this system? What is that maximum output number?

4. You are in a line at the bank drive-through and 10 cars are in front of you. You estimate
that the clerk is taking about fi ve minutes per car to serve. How long do you expect to wait
in line?

10. An enterprising student has set up an internship clearinghouse for business students. Each
student who uses the service fi lls out a form and lists up to 10 companies that he or she
would like to have contacted. The clearinghouse has a choice of two methods to use for processing
the forms. The traditional method requires about 20 minutes to review the form and
arrange the information in the proper order for processing. Once this setup is done, it takes
only two minutes per company requested to complete the processing. The other alternative
uses an optical scan/retrieve system, which takes only a minute to prepare but requires fi ve
minutes per company for completing the processing. If it costs about the same amount per
minute for processing with either of the two methods, when should each be used?
11. Rockness Recycling refurbishes rundown business students. The process uses a moving
belt, which carries each student through the fi ve steps of the process in sequence. The fi ve
steps are as follows:
Time Required
Step Description per Student
1 Unpack and place on belt 1.0 minute
2 Strip off bad habits 1.5 minutes
3 Scrub and clean mind 0.8 minute
4 Insert modern methods 1.0 minute
5 Polish and pack 1.2 minutes
One faculty member is assigned to each of these steps. Faculty members work a
40-hour week and rotate jobs each week. Mr. Rockness has been working on a contract
from General Eclectic, which requires delivery of 2,000 refurbished students per
week. A representative of the human resources department has just called complaining
that the company hasn’t been receiving the agreed-upon number of students. A check
of fi nished goods inventory by Mr. Rockness reveals that there is no stock left. What
is going on?

13. A local market research fi rm has just won a contract for several thousand small projects
involving data gathering and statistical analysis. In the past, the fi rm has assigned each
project to a single member of its highly trained professional staff. This person would both
gather and analyze the data. Using this approach, an experienced person can complete an
average of 10 such projects in an eight-hour day.
The fi rm’s management is thinking of assigning two people to each project in order to
allow them to specialize and become more effi cient. The process would require the data
gatherer to fi ll out a matrix on the computer, check it, and transmit it to the statistical
analysis program for the analyst to complete. Data can be gathered on one project while
the analysis is being completed on another, but the analysis must be complete before the
statistical analysis program can accept the new data. After some practice, the new process
can be completed with a standard time of 20 minutes for the data gathering and 30 minutes
for the analysis.
a. What is the production (output per hour) for each alternative? What is the productivity
(output per labor hour)?
b. How long would it take to complete 1,000 projects with each alternative? What
would be the labor content (total number of labor hours) for 1,000 projects for each

18. I-mart is a discount optical shop that can fi ll most prescription orders in around 1 hour.
The management is analyzing the processes at the store. There currently is one person
assigned to each task below. The optometrist assigned to task B takes an hour off for
lunch and the other employees work the entire day.
Task Time
A. Greet/register the patient 2 minutes/patient
B. Optometrist conducts eye exam 25 minutes/patient
C. Frame/lenses selection 20 minutes/patient
D. Glasses made (process can run 6 pairs of
glasses at the same time) 60 minutes/patient
E. Final fi tting 5 minutes/patient
For a typical 10-hour retail day (10 a.m.–8 p.m.), the manager would like to calculate the
a. What is the current maximum output of the process per day (assuming every patient
requires glasses)?
b. If another person were added, where would be the logical place?
c. What effect would a mail order lab (where the glasses are made off-site and returned in
5–7 days) have on the process?