SOLUTION: Worksheet 9 for Management Science and Operations Manamgenet

SOLUTION: Worksheet 9 for Management Science and Operations Manamgenet.

MGMT 3106: Management Science and Operations Management
Assignment Instructions
Follow instructions carefully. Otherwise your grade will be affected
You can discuss the questions with colleagues. But you are not allowed to share your work.
Alike assignments will earn a grade of 0 first time.
Alike assignments will lead to an F in the course second time.
Previous semester assignments will earn a grade of 0 first time.
Previous semester assignments will lead to an F in the course second time.
Sources and Plagiarism
Cite your sources (i.e., websites, books, magazines, etc.)
Answers without sources will not earn grade.
Plagiarism: To use the same words as your source.
Plagiarism leads to a 0 in the assignment. No matter if it is only a sentence.
Be organized and professional.
Consistent formatting is expected (Line spacing, margins, fonts, numbering, etc.)
Poorly presented assignments will lose up to 20% because of presentation.
Answers without proper support will not earn any grade.
Include calculations when necessary.
Refer to appendixes when explaining your answer.
Question/answer examples
Example 1: How many Daejo leaders are located in the state of Texas?
Unacceptable answer: 9.
Acceptable answer: Currently there are 9 dealers in the state of Texas.
Note: Answers need to be presented in a professional and nice fashion.
Example 2: One of the best sellers at a paint store is an Iron-coat paint. The annual demand is
forecasted as 10,000 gallons. The carrying cost is $0.75 per gallon. The ordering cost is $150 per order.
How much paint should be ordered each time?
Unacceptable answer: 2000.
Acceptable answer: The paint store should order 2,000 gallons each time. Calculations below show how
the answer was obtained:
Q=
2Co D
2 *150 *10,000
=
= 2,000
Cc
0.75
Note: Answer is professionally presented. Calculation details are shown using Microsoft equation editor.
MGMT 3106: Management Science and Operations Management
Assignment 8
Answer all questions. Show all your work to earn credit.
1) [10 points] Which of the Seven QC Tools would be most useful in addressing each of the following
situations? Explain your reasoning.
a) a. A copy machine suffers frequent paper jams and users are often confused as to how to fix
the problem.
b) A bank needs to determine how many teller positions, drive-through stations, and ATM
machines it needs for a new branch bank in a certain busy location. Its information includes
the average numbers and types of customers served by other similar facilities, as well as
demographic information to suggest the level of customer traffic in the new facility.
c) A contracting agency wants to investigate why they had so many changes in their contracts.
They believe that the number of changes may be related to the dollar value of the original
contract or the days between the request for proposal and the contract award.
2) [10 points] Over the last year, 1,800 injections were administered at a clinic. Quality is measured
by the proper amount of dosage as well as the correct drug. In six instances, the incorrect amount
was given, and in three cases, the wrong drug was given.
a) What is the epmo metric?
b) What sigma level does it correspond to? (You may need to use the Excel template).
3) [10 points] Analysis of customer complaints at an e-commerce retailer revealed the following:
Billing errors
537
Shipping errors
2,460
Electronic charge errors
650
Shipping delays
5,372
Packing errors
752
Construct a Pareto diagram and discuss the conclusions you may draw from it.
4) [10 points] Thirty samples of size 4 of the customer waiting time at a call center for a health
insurance company resulted in an overall mean of 10.4 minutes and average range of 0.9 minutes.
Compute the control limits for x-bar and R-charts.
MGMT 3106: Management Science and Operations Management
5) [20 points] Webster Chemical Company produces mastics and caulking for the construction
industry. The product is blended in large mixers and then pumped into tubes and capped.
Webster is concerned whether the filling process for tubes of caulking is in statistical control. The
process should be centered on 8 ounces per tube. Six samples of eight tubes are taken and each
tube is weighed in ounces.
a) Calculate Mean, Average Range, Upper and lower control limits for xBar and R charts. Show
all calculations. (You may use Excel tools to verify your answers).
b) Plot the xBar and R charts. (You may use Excel tools to plot the charts.)
c) Based on the xBar and R charts, discuss whether the process in statistical control or not.
Sample
1
2
3
4
5
6
1
7.98
8.23
7.89
8.24
7.87
8.13
2
8.34
8.12
7.77
8.18
8.13
8.14
3
8.02
7.98
7.91
7.83
7.92
8.11
Tube Number
4
5
7.94 8.44
8.41 8.31
8.04 8.00
8.05 7.90
7.99 8.10
8.13 8.14
6
7.68
8.18
7.89
8.16
7.81
8.12
7
7.81
7.99
7.93
7.97
8.14
8.13
8
8.11
8.06
8.09
8.07
7.88
8.14
6) [20 points] A sticky scale brings Webster’s attention to whether caulking tubes are being properly
capped. If a significant proportion of the tubes aren’t being sealed, Webster is placing their
customers in a messy situation. Tubes are packaged in large boxes of 144. Several boxes are
inspected and the following numbers of leaking tubes are found:
Sample
1
Tubes
3
Sample
8
Tubes
6
Sample
15
Tubes
5
2
5
9
4
16
0
3
3
10
9
17
2
4
4
11
2
18
6
5
2
12
6
19
2
6
4
13
5
20
1
7
2
14
1
Total =
72
a) Calculate the pbar, standard deviation, upper and lower control limits. Show all calculations.
(You may use Excel tools to verify your answers).
b) Plot the p-chart. (You may use Excel tools to plot the charts.)
c) Based on the p-chart, discuss whether the process in statistical control or not.
MGMT 3106: Management Science and Operations Management
7) [10 points] A fast food franchise tracked the number of errors that occurred in customers’ orders.
These included wrong menu item, wrong size drink, lack of condiments, wrong price total, and so
on. Some orders may have more than one error. In one week, 1250 orders were filled, and a total
of 30 errors were discovered. Find the control limits for a c-chart.
8) [10 points] A specification for a spacer plate used in a machine tool has specifications LSL = 0.05
and USL = 0.10 cm in thickness. A sample of 100 parts found µ = 0.067 and σ= 0.011. Compute
and interpret the process capability indexes Cp, Cpl, Cpu, and Cpk

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SOLUTION: Worksheet 9 for Management Science and Operations Manamgenet

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