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MSCI432 Study Guide - Midterm Guide: Food Processor, Gantt Chart, University Of Waterloo


Department
Management Sciences
Course Code
MSCI432
Professor
Binyamin Mantin
Study Guide
Midterm

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Name __________________________________ Student ID ___________________
1
THE UNIVERSITY OF WATERLOO
MSCI 432.001/633 Production and Service Operations Management (Winter 2010)
Midterm Examination
February 11, 2009
Instructor: Benny Mantin
This exam has 10 pages. Please make sure that you have all the pages.
Answers to all questions must be written in the space provided next to the question. Where necessary,
you must show your work. In other words, it should be clear how you arrived at your answer. If you
write the correct answer but it is not clear how you arrived at this answer, you will get no credit.
The points per question, shown below, do not necessarily reflect the relative amounts of time that it will
take to answer each question.
Materials allowed: Calculator.
Candidates found committing any dishonest practices will be immediately dismissed from the
examination, and subject to such discipline as the Faculty or the University may impose. Examples of
dishonest practices include (but are not limited to):
making use of books and other media except those authorized by the examiners
speaking or communicating with other candidates
purposely displaying notes or memoranda to other candidates.
For Instructor Use:
Question No.
Marks
1.
/8
2.
/6
3.
/6
4.
/5
Total
/25

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Name __________________________________ Student ID ___________________
2
[Processes] Problem 1 (8 points)
Suppose you and your roommate are preparing to start a cookie shop in your apartment. Your
shop will provide fresh cookies to students.
The production process is as follows: (only the 4 main resources mentioned: You, your
roommate, the oven, and the food processor)
Process #
Process description
Processing
time
Resources
Required
Notes
1
Mix all the ingredients
in a food processor
8 min
You, food
processor
you can process
up to 2 dozens
each time
2
Spoon out the cookie
dough onto a tray
3 min
your roommate
you can only
process 1 dozen
each time
3
Baking the cookies
10 min
oven
you can bake only
1 dozen each time
4
Take the tray of
cookies out of the oven
0 min
NA
5
Cool cookies
5 min
NA
6
Take the cookies off
the tray
0 min
NA
7
Pack them into a box
and accept payment
3 min
your roommate
Each cookie tray can hold 1 dozen cookies.
You have only 1 oven and 1 food processor.
1. Assume that in process #1 you work on one dozen at a time.
a. What is the flow time of the process? [1 point]
b. What is the capacity rate of the process? [1 point] (measure in dozen/hr)

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Name __________________________________ Student ID ___________________
3
c. Draw the Gantt chart showing the first two dozen for the main four resources. [1 point]
d. How many orders can you fill in one night, assuming that you are open for 4 hours? It is
important to realize that you DON’T start working on the first dozen before you open the
shop. [1 point]
a. Sum of the flow time for an order size of 1 dozen cookies is 29 minutes
b. Summary of capacity rates for each resource (oven is process bottleneck)
Capacity Rates (assuming order size = 1 dozen)
7.5 dozen / hour (=60/8)
10 dozen / hour (=60/6)
6.6 dozen / hour (=60/10)
7.5 dozen / hour (=60/8)
The first dozen comes out only after 29 min., so 211 min. left. Then every dozen comes
out every 10 min. after that. The number of orders = 1 + 211/10 = 22.1 = 22 order.
2. Assume that in process #1 you work on two dozen at a time. That is, once you work on the
second dozen, you can skip the mixing process.
a. What is the flow time of the process? [1 point]
b. What is the capacity rate of the process? (measure in dozen/hr) [1 point]
a. For the first dozen it is 29 as before. For the second, you skip the 8 minutes of mixing so only
21. Hence, on average 25 minutes.
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42
You
Your roomate
oven
Food processor
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40
You 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2
Your roomate 1 1 1 2 2 2 1 1 1 2 2 2
oven 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2
Food processor 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2
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