This document is a 4-page examination for an Operations Research course containing 7 questions worth a total of 100 marks. Students are asked to answer any 5 of the 7 questions, which cover topics such as linear programming, transportation problems, assignment problems, sequencing problems, queuing theory, simulation, game theory, and replacement problems. Questions involve solving models mathematically as well as discussing concepts in operations research.
Accounting 970602 paper 2 structured questions october november 2007 Alpro
Accounting 970602 paper 2 structured questions october november 2007
Advanced Level
A Level
Zimsec
Cambridge
Alpro Learning Portal
Accounting
Accounts
Zimbabwe
Principle of accounts
Accounting 970602 paper 2 structured questions october november 2007 Alpro
Accounting 970602 paper 2 structured questions october november 2007
Advanced Level
A Level
Zimsec
Cambridge
Alpro Learning Portal
Accounting
Accounts
Zimbabwe
Principle of accounts
This presentation is an attempt to introduce Game Theory in one session. It's suitable for undergraduates. In practice, it's best used as a taster since only a portion of the material can be covered in an hour - topics can be chosen according to the interests of the class.
The main reference source used was 'Games, Theory and Applications' by L.C.Thomas. Further notes available at: http://bit.ly/nW6ULD
(3 Points)1.The injection molding department of Alvec Inc. use.docxmarilynnhoare
(3 Points)
1.
The injection molding department of Alvec Inc. uses 40 pounds powder X a day. The plant operates 250 days per year. The daily usage of powder X is normally distributed with a standard deviation of 5 pounds per day. The lead time to obtain powder X from a supplier in 9 days. The annual holding cost is $2.00 per unit and the cost of ordering powder X is $50.
a)
What is Economic Order Quantity? ( 3 points)
2.
Refer to problem 1 and its solution. The injection molding department of Alvec Inc. uses 40 pounds powder X a day. The plant operates 250 days per year. The daily usage of powder X is normally distributed with a standard deviation of 5 pounds per day. The lead time to obtain powder X from a supplier in 9 days. The annual holding cost is $2.00 per unit and the cost of ordering powder X is $50.
a)
If a company has a service level goal is 99.4%. What is the expected pounds of shortage order cycle? (shortages are measured in terms of numbers of units) (2 points)
b)
Determine the order points for a service level of 99.4%. (4 Points)
3.
Draw the Activity-on-Arrow network diagrams for the following PERT problem. Use the minimum number of necessary “dummy” activities. (5 points)
Activity
Immediate Predecessor
A
-
B
-
C
A, B
D
B
E
C, D
4.
Given the demand of 3000 units and the following bill of materials for the item “A”, determine the low- level- code and the net requirements for all the items (A, B, C, D). (5 points)
Items
Current Inventory
Low- Level- Code
Net requirements
A
600
B
1800
C
20000
D
7200
5.
(12 Points) The following information is gathered for a project.
Activity
Activity Time ( Days)
Immediate Predecessor(s)
A
2
-
B
4
A
C
5
A
D
2
B
E
1
B
F
8
B, C
G
3
D, E
H
5
F
I
4
F
J
7
G, H, I
a)
Draw the network diagram using the AON (Activity on Node) Convention. (2 points)
b)
Determine the critical path, the amount of slack for each activity and the total completion time of the project. (7 Points)
Activity
ES
EF
LS
LF
Slack
CP
Critical Path:
Project Completion time:
31
30
29
28
27
26
25
24
23
22
21
20
19
18
17
16
15
14
13
12
11
1 0
9
8
7
6
5
4
3
2
1
T A S K
A
B
C
D
E
F
G
H
I
J
C) Prepare the earliest start schedule (Gantt chart). (3 points)
Question 8
An aegean sea fish market buys swordfish daily for $2.10 per pound and sells it for $3.60 per pound. at the end of each business day any remaining swordfish is sold to a cat food company for $1.20 per pound. Daily demand can be approximated by a normal distribution with a mean of 150 pounds and a standard deviation of 9 pounds.
a) Determine the.
MULTIPLE CHOICE. Record your answer choices. 1.7.2.8.docxgilpinleeanna
MULTIPLE CHOICE. Record your answer choices.
1.7.
2.8.
3.9.
4.10.
5.11.
6.12.
SHORT ANSWER. Record your answers below.
13. (a)
(b)
(c)
14. (a)
(b)
(c)
15. (a)
(b)
(c)
SHORT ANSWER with Work Shown. Record your answers and work.
Problem Number
Solution
16
Answers:
(a)
(b)
(c)
Work for (a), (b), and (c):
17
Answer:
Work:
18
Answer:
Work:
19
Answers:
(a)
(b)
(c)
Work for (a) and (b):
20
Answer:
Work:
21
Answer:
Work:
22
Answers:
(a)
(b)
(c)
(d)
Work for (b), (c), and (d):
23
Answer:
Work:
24
Answer:
Work:
25
Answers:
(a)
(b) Region I:
Region II:
Region III:
Region IV:
Work:
The Logistics Section is responsible for all support requirements needed to facilitate effective and efficient incident management. These requirements include but are not limited to:
-Facilities/Transportation
-Supplies/Equipment maintenance and fuel
-Food services
-Communications/Information technology support
-Emergency responder medical services
Without funding and reimbursements, the ability to respond and recover from incidents will be limited. Because incident response is a very expensive business, costs and finances must be carefully and thoroughly recorded. The Finance/Administration Section manages all activities related to cost summaries and contracts for supplies and services.
Many times high-impact/long-duration incidents are where we see a need for the Logistics and Finance sections to work closely to make sure the necessary supplies are available and then track the associated costs for the supplies.
Write a post to achieve the following:
1. Find an article on the internet and post the link.
2. The article should show an incident where the Logistics and Finance Sections were required due to the size and/or duration of the incident. Please keep the incident to the U.S.
3. Give a summary of the incident from the perspective of the Finance/Logistics sections.
4. Describe the type of resources that Logistics was required to supply, and then report on the methods likely used to track expenses by the Finance Section. Make inferences where this information is not clearly noted in your articles.
Forum Requirements
Please APA cite and reference your sources in your post.
Your initial post must be a minimum of 300 words.
MATH 106 Finite Mathematics 2178-OL4-7981-V1
Page 1 of 10
MATH 106 FINAL EXAMINATION
This is an open-book exam. You may refer to your text and other course materials as you work
on the exam, and you may use a calculator. You must complete the exam individually.
Neither collaboration nor consultation with others is allowed. Use of instructors’ solutions
manuals or online problem solving services in NOT allowed.
Record your answers and work on the separate answer s ...
This presentation is about how organising is an impotant function in creating sound Organisation Structure. It compares the merits and demerits of various organisation structures.
This presentation is about various Forms of Business Organisations and their features, merits and demerits. It also guides an entrepreuner on how to make a choice among various forms of Business Organisations.
This Article on WORK STUDY covers Part-I , UNIT-II of Industrial Administration and Financial Mangement Syllabus of BE 4/4(EEE/EIE/ECE) of Osmania University
1. Page 1 of 4
Term End Examination - November 2012
Course : MEE437 - Operations Research Slot: B2+TB2
Class NBR : 2713 / 2708 / 5569 / 2710 / 3562 / 5568
Time : Three Hours Max.Marks:100
Note:
1. Use of Standard Normal and Random Number Tables are permitted
2. Graph sheet is to be provided
Answer any FIVE Questions
(5 X 20 = 100 Marks)
1. a) Apply the graphical method to solve the LPP:
Max Z = 5x1 + 8x2
Subject to 15x1+10x2 ≤ 180
10x1+20x2 ≤ 200
15x1+20x2 ≤ 210
and x1 , x2≥ 0.
[5]
b) Solve the following using Simplex method
Max Z = 15x1 + 6x2 +9x3 + 2x4
Subject to 2x1 + x2 +5x3 + 6x4 ≤ 20
3x1 + x2 +3x3 + 25x4 ≤ 24
-7x1-x4 ≥ 70
and x1 , x2, x3 , x4≥ 0.
[15]
2. a) Solve the transportation problem (use VAM) and find the optimal solution using
MODI method.
Origin
Destination
Supply (units)D1 D2 D3
A 5 6 9 100
B 3 5 10 75
C 6 7 6 50
D 6 4 10 75
Demand
(units)
70 80 120
[15]
2. Page 2 of 4
b) Solve the assignment problem
A B C D
I 1 4 6 3
II 9 7 10 9
III 4 5 11 7
IV 8 7 8 5
[5]
3. a) Find the optimum sequence for the following sequencing problem. Also find the
minimum total elapsed time and idle time on the machines M1 and M2.
JOBS
A B C D E F G H
M1 14 26 17 11 9 26 18 15
M2 21 15 16 21 22 12 13 25
[10]
b) The following table lists the jobs of a network along with their time estimates
Jobs 1-2 1-3 2-4 3-4 4-5 3-5
Optimistic time 2 9 5 2 6 8
Most likely time 5 12 14 5 6 17
Pessimistic time 14 15 17 8 12 20
i) Draw the network
ii) Calculate the length and variance of the critical path
iii) Find the probability that the project will be completed within 30 days.
[10]
3. Page 3 of 4
4. a) A manufacturer has to supply his customer with 600 units of his products per year.
Shortage are not allowed and storage cost amounts to 60 paise per unit per year.
The set up cost is Rs.80.
Find i) the economic order quantity
ii) the minimum average yearly cost
iii) the optimum number of orders per year
iv) the optimum period of supply per optimum order
[10]
b) The demand for an item in a company is 18,000 units per year, and the company
can produce the item at a rate of 3000 per month. The cost of one set up is
Rs. 500 and the holding cost of one unit per month is 15 paise. The shortage cost
of one unit is Rs.20 per month. Determine the optimum manufacturing quantity
and the number of shortages. Also determine the manufacturing time and time
between set-ups.
[10]
5. a) Cars arrive at a petrol pump, having one petrol unit, in Poisson fashion with an
average of 10 cars per hour. The service time is distributed exponentially with a
mean of 3 minutes.
Find i) average number of cars in the system ii) average waiting time in the
Queue iii) average Queue length iv) the probability that the number of cars in the
system is 2.
[15]
b) Write the different steps involved while solving a simulation problem [5]
6. Using dominance solve the game whose payoff matrix is given by
PLAYER K
I II III IV
A 18 4 6 4
PLAYER L B 6 2 13 7
C 11 5 17 3
D 7 6 12 2
4. Page 4 of 4
7. a) The maintenance cost and resale value per year of a machine whose purchase price
is Rs.7000 is given below:
Year Maintenance Cost (Rs) Resale Value (Rs)
1 900 4000
2 1200 2000
3 1600 1200
4 2100 600
5 2800 500
6 3700 400
7 4700 400
8 5900 400
When should the machine be replaced?
[15]
b) What is meant by replacement problem? Discuss the various types of replacement
problems.
[5]
⇔⇔⇔