Today is the start of day 4 and john smith is ready to start

1)  (18 points)

 

Today is the start of Day 4 and John Smith is ready to start scheduling the following jobs.  Jobs are assigned a letter of the alphabet, starting with the letter A, based on their arrival.  

 

Job

Processing Time (in days)

Due Date (End of Day)

A

3

10

B

10

12

C

2

25

D

4

8

E

5

15

F

8

18

G

7

20

 

a)  Sequence these jobs based on the following scheduling rules:  FCFS and critical ratio (CR) (time to due date/processing time).

 

 

 

 

b)  Based on average flow time measured from today (start of Day 4), which of the sequencing rules is preferred?

 

Based on the average flow time measured from today (start of Day 4), the preferred sequence is

 

 

c)  Based on the average lateness with no credit given for jobs completed early, which of the sequencing rules is preferred?

 

 

 

 

d)  Based on the average early time with zero days early if the job is completed late, which of the sequencing rules is preferred?

 

 

2).  (23 points)

 

The information technology department of Bellevue University buys paper for its copier machine frequently.  The office manager would like to determine the best quantity to order each time an order is placed.  She has estimated that the ordering cost is $12 each time an order is placed.  The monthly demand for paper is 135 reams (500 sheets to a ream).  The cost of paper is $6.50 per ream, and the carrying cost is 25 percent of the paper cost per month.  Base your answers to the following questions on the economics that are provided and using the traditional inventory models we have studied. 

 

a)      How many reams should be ordered at a time?

 

 

 

b)  Suppose the information technology department of the university only has space to hold 35 reams of paper at any time.  How many reams should be ordered at a time?  Why?

 

 

 

 

c) There are 350 working days per year and the lead time is 3 days.  What are the reorder point and the inventory position immediately after placing the order? 

 

 

 

 

 

d) If the university were to order at least 60 reams of paper every time it places an order, the paper company will lower the price of the paper by $0.33 for all reams of paper.  The university can now acquire all of the storage space that it needs.  However, it will cost the university an additional $1.00 per ream per month for storage.  What is the difference in the annual inventory cost between this policy and the policy found in a)?  Consider all relevant costs.

 

 

 

3).  (20 points)

 

You are to plan production for a four-month period:  February through May.  For February and March, you should produce to the exact demand forecast.  During February and March, you will follow a matching strategy and hire and layoff the works as required.  For April and May, you should use overtime and inventory with a stable workforce.  Stable means that the number of workers needed for March will be held constant through May.  However, government constraints put a maximum of 5,000 hours of overtime labor per month in April and May.  There is no overtime allowed in February and March.  If demand exceeds supply, then backorders occur.  If there is excess capacity in May, the workers are paid but there is no work performed hence there are no extra units produced in May.  There are 100 workers on January 31.  You are given the following demand forecast

February          –           80,000

March             –           64,000

April                –           100,000

May                 –           40,000

 

Productivity is four units per worker hour.  Each worker works eight hours per day, 20 days per month.  Assume zero inventory on February 1.  There is to be no inventory at the end of May.   Hiring costs are $50 per worker, while layoff costs are $70 per worker.  The inventory holding cost is $10 per unit per month based on the number of units in inventory at the end of the month.  Straight time labor is $10 per hour and overtime is 150% of the straight time labor rate.  Backorder costs are $20 per unit per month.

 

Find the total cost of this plan.

 

4).  (22 points)

 

Below is the computer solution to a linear programming problem linear programming:

 

 

Note:  The Reduced Cost is often referred to as the Coefficient Sensitivity.

 

For the above information, answer the following questions.  Provide your answers based on the above information and explain your answers in terms of this information. 

 

a)  Write the objective function in equation form and write the constraints as equalities or inequalities.

 

 

b)  What are the values of the variables at optimality and what is the value of the objective function at optimality?

 

 

c)  If there was an opportunity to purchase additional units of each resource (as expressed by the constraints), based on the sensitivity analysis which resource(s) would you consider for purchase?  Why?  Identify all of the resources that you would consider.  If you did not consider a resource for purchase, why did you exclude it?  Remember that Constraint 1 is equivalent to Resource 1, Constraint 2 is Resource 2, and Constraint 3 is Resource 3.  

 

 

 

c)      Suppose the contribution of variable X2 in the objective function increases by 10.  What are the values of the variables at optimality now and what is the value of the objective function at optimality with this change?  Use the above sensitivity analysis in answering this question and provide the sensitivity analysis information you used.    

Custom Writings Help
Calculate your paper price
Pages (550 words)
Approximate price: -

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!

Calculate the price of your order

Total price:
$0.00

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.

Our Services

No need to work on your paper at night. Sleep tight, we will cover your back. We offer all kinds of writing services.

Essays

Essay Writing Service

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.

Admissions

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.

Reviews

Editing Support

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.

Reviews

Revision Support

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.