Quantitative Assignment #4
1. Cycle time analysis
Company X has recently completed an analysis of its primary value-added process. As part of this analysis, the major flows have been mapped such that the process has been broken down into 10 sequential activities. To better understand the process, the times to complete each of these activities have been carefully monitored over the past month. The average (mean) and standard deviation of the activity times are recorded in parentheses next to the box representing the activity, as follows:
Activity Mean Deviation
1 8 2.4
2 4 1.2
3 15 2.1
4 3 3.0
5 1 0.4
6 10 6.0
7 5 2.8
8 3 3
9 20 4.5
10 4 0.3
1.a What is the average completion time for this value-added process?
1.b What is the standard deviation for the entire process?
1.c What is the probability that process will be completed in 75 hours?
1.d in 80 hours?
1.e in 70 hours?
1.f Develop a 95 percent confidence interval for the process.
1.g If you aren’t confident in your ability to make delivery promises, where should you target your improvement efforts? How would you proceed?
2. Little’s Law
2.a In a popular vacation destination in Asia, all of the hotel beds are generally booked in the summer season. On average, there are 2,800 tourists who stay for two weeks on average (i.e., 14 days). How many new tourists arrive, on average, per day in this vacation destination?
2.b At a local airport, 20 planes arrive on average per hour on the single runway, and these planes have to circle 3 minutes in the air, on average, before they can start their landing procedure. How many planes, on average, are circling in the air before they start landing?
2.c In a hospital emergency room, on average 30 patients arrive per hour. If the average number of patients present in the emergency room is 20, what is the average duration of stay of a patient in the emergency room?
3. Bottleneck Analysis I
A process requires six sequential steps with the following times. Assume only one machine at each step:
i. Step 1: 2 minutes
ii. Step 2: 3 minutes
iii. Step 3: 2 minutes
iv. Step 4: 4 minutes
v. Step 5: 1 minute
vi. Step 6: 5 minutes
3.a Which step is the process bottleneck?
3.b What is the capacity of the process in units per hour?
3.c What is the capacity of the process (in units per hour) if a second identical machine is added to Step 2?
4. Bottleneck Analysis II
Consider the standard process for cleaning teeth at a dentist’s office.
4.a Ignoring any waiting time, what is the cycle time (aka process flow time or throughput time)?
4.b How many resources are there?
4.c Calculate the capacity of each resources in patient per hour.
4.d Which resource is the bottleneck?
4.e What is the capacity of this dentist office?
4.f What is the capacity of this office if a second hygienist is hired?
2.a 200 per day
2.b 1 airplane
2.c 40 minutes
3.a Step 6
3.b 12 per hour
3.c 12 per hour
4.a 44 minutes
4.c Receptionist: 7.5 patients/hr; Hygienist: 2.5; X-ray machine: 10; Dentist: 4.6
4.d The hygienist
4.e 2.5 patients/hr
4.f 4.6 patients/hr
Why Work with Us
Top Quality and Well-Researched Papers
We always make sure that writers follow all your instructions precisely. You can choose your academic level: high school, college/university or professional, and we will assign a writer who has a respective degree.
Professional and Experienced Academic Writers
We have a team of professional writers with experience in academic and business writing. Many are native speakers and able to perform any task for which you need help.
Free Unlimited Revisions
If you think we missed something, send your order for a free revision. You have 10 days to submit the order for review after you have received the final document. You can do this yourself after logging into your personal account or by contacting our support.
Prompt Delivery and 100% Money-Back-Guarantee
All papers are always delivered on time. In case we need more time to master your paper, we may contact you regarding the deadline extension. In case you cannot provide us with more time, a 100% refund is guaranteed.
Original & Confidential
We use several writing tools checks to ensure that all documents you receive are free from plagiarism. Our editors carefully review all quotations in the text. We also promise maximum confidentiality in all of our services.
24/7 Customer Support
Our support agents are available 24 hours a day 7 days a week and committed to providing you with the best customer experience. Get in touch whenever you need any assistance.
Try it now!
How it works?
Follow these simple steps to get your paper done
Place your order
Fill in the order form and provide all details of your assignment.
Proceed with the payment
Choose the payment system that suits you most.
Receive the final file
Once your paper is ready, we will email it to you.
No need to work on your paper at night. Sleep tight, we will cover your back. We offer all kinds of writing services.
No matter what kind of academic paper you need and how urgent you need it, you are welcome to choose your academic level and the type of your paper at an affordable price. We take care of all your paper needs and give a 24/7 customer care support system.
Admission Essays & Business Writing Help
An admission essay is an essay or other written statement by a candidate, often a potential student enrolling in a college, university, or graduate school. You can be rest assurred that through our service we will write the best admission essay for you.
Our academic writers and editors make the necessary changes to your paper so that it is polished. We also format your document by correctly quoting the sources and creating reference lists in the formats APA, Harvard, MLA, Chicago / Turabian.
If you think your paper could be improved, you can request a review. In this case, your paper will be checked by the writer or assigned to an editor. You can use this option as many times as you see fit. This is free because we want you to be completely satisfied with the service offered.