EGR 599
Advanced Engineering Math II Problem set #4
_ LAST NAME, FIRST
1. (P. 15.1 Chapra1) A company makes two types of products, A and B. These products are produced during a 40-hour work week and then shipped out at the end of the week. They require 20
EGR 599
Advanced Engineering Math II
_
LAST NAME, FIRST
Problem set #2
1. Use Newtons Homotopy with x(0) = [4 2] to compute x(2) for the following nonlinear systems:
2
f 1 ( x1 , x 2 ) x12 x 2 36 0
f 2 ( x1 , x2 ) 2 x12 3x 2 16 0
dx 2
dt
so that
> 0.
dp
d
EGR 599 ADVANCED ENGINEERING MATHEMATICS II _ LAST NAME, FIRST (3 pts) Quiz #3
Note: Your answers must be correct to 4 significant figures. The maximum score is 25 pts.
I. Subject to
Maximize y = 3x1 + 2x2
x1 + x2 8 2x1 + x2 10 (1) x1 = _2_ (2) x2 = _6_
1
EGR 599 ADVANCED ENGINEERING MATHEMATICS II _
LAST NAME, FIRST (3
pts)
Quiz #2 solution
Note: Your answers must be correct to 4 significant figures.
The maximum score is 25 pts.
I. Suppose a refinery develops a product, Z1, made from two raw materials X a
EGR 599
Advanced Engineering Math II
_
LAST NAME, FIRST
Problem set #1
1. Use Newtons method with x(0) = 0 to compute x(2) for each of the following nonlinear
systems:
a. 4 x12 - 20x1 +
1 2
x +8=0
4 2
1
2
x1 x2 + 2x1 5x2 + 8 = 0
2
b. sin(4x1x2) 2x2 x1 = 0
EGR 599 ADVANCED ENGINEERING MATHEMATICS II _ LAST NAME, FIRST (3 pts) Quiz #4
Note: Your answers must be correct to 4 significant figures. The maximum score is 25 pts.
I. Subject to
Minimize y = 50x1 + 25x2
x1 + 3x2 8 3x1 + 4x2 19 3x1 + x2 7 (1) x1 = _1_
Page 104 Problem 1
TableofContents
2
ProblemStatement
_
_
A customer requires during the next four months, respectively, 50, 65, 100, and 70 units of a
commodity (no backlogging is allowed). Production costs are $5, $8, $4, and $7 per unit during
these mo
Bank Problem with Application of WinQSB for
Transportation and Report to Manager
Source of the problem: page 86, W. L. Winston, "Operations Research, Application and
Algorithms", 4th Edition, Thomson Learning, 2004, ISBN: 0-534-38058-1
Page 371 Problem 6
RMC Inc. Problem with Application of WinQSB for
LP: Problem Statement, Summary, and Solution
Source of the problem: Anderson, Sweeney, Williams An Introduction to Management
Science
By: Parisay
RMC Inc. is a small firm that produces a variety of chemical
Sunco Blending Problem with Application of WinQSB
for LP: Dual Problem
Source of the problem: page 86, W. L. Winston, "Operations Research, Application and
Algorithms", 4th Edition, Thomson Learning, 2004, ISBN: 0-534-38058-1
By: Parisay
LP
NormalModel Su
HeartValveSuppliers
Page71Problem2
Table of Contents
Problem
Statement. p. 3
Summary Table and Formulation
p. 4
Sensitivity
Analysisp. 6
Report to
Manager.p. 9
1
Problem Statement
US Labs manufactures mechanical heart valves from the heart valves of pigs.
EGR 549
Last name:
California State Polytechnic University, POMONA
Industrial and Manufacturing Engineering Department
FINAL EXAM,
Date: 6-7-06
First name:
ID:
Instructions: Read all the questions carefully. Organize your work clearly, neatly,
and legibly
Problem 5 Page 75
Problem Statement:
Each day, workers at the Gotham City Police Department work two 6-hour shifts chosen from 12
a.m. to 6 a.m., 6 a.m. to 12 p.m., 12 p.m. to 6 p.m., and 6 p.m. to 12 a.m. The number of workers
are needed during each shif
EGR 549
Last name:
Quiz
First name:
4-4-07
Giapetto, Inc. sells wooden soldiers and wooden trains. The resources used to produce a
soldier and a train is shown in the following table. A total of 145,000 board feet of
lumber is available. Union requires us
ILP of WinQSB features
Nov 2011
Demo on features of ILP of WinQSB.
Specify Solution Quality: when close to optimal solution is good enough
1
Specify variable branching priority: when we have priority for variable selection
Finding number of sub problems a
Application of WinQSB for Transportation Problem: An Example
Source book: An Introduction to Management Science, By: Anderson, Sweeney, and Williams
Software: WinQSB by Yih-Long Chang
Prepared by: Dr. Parisay
Date: November 2000, Last updated: Nov 2005
Pr
California State Polytechnic University, POMONA
Industrial and Manufacturing Engineering Department
EGR 549
MIDTERM EXAM
Date: 5-2-07
Last name:
First name:
Instructions: Read all the questions carefully. Organize your work clearly, neatly,
and legibly. S
Problem 3-Page 403:
By: Mr. Sukhum Rattanasereekiat
Parisays comments are in red: Please pay attention to my general guidelines.
Solve Problem 3 on page 403 of your textbook, using WinQSB. Print the solution.
Perform only one sensitivity analysis of your
Problem #4 on Page 97
Problem Statement
1
Dr. Parisays comments are in red.
Variables:
X1 = Number of ounces of Product 1 sold
X2 = Number of ounces of Product 2 sold
X21 = Number of ounces of Product 2 sold after producing Product 1
X31 = Number of ounce
EGR 403
Last name:
Quiz
First name:
1-11-05
You have invested $5000 for your retirement with interest rate of 8%. How much will
you have 40 years from now? Draw the cash flow diagram.
EGR 403
Last name:
Quiz
First name:
1-13-05
What is the equivalent pres
California State Polytechnic University, Pomona
Industrial and Manufacturing Engineering Department
EGR 403
Last name:
FINAL EXAM
First name:
Date: 3-14-2006
Instructions: Read all questions carefully. Please organize your work clearly, neatly, and legibl
An example on the PW, FW, AW, IRR, and B/C
Prepared by: Parisay, Date: Summer of 2003
An expansion to a business is under study. Four feasible alternatives are found with
different cash flow during 10 years of the useful life of such expansion. The initia
California State Polytechnic University, Pomona
Industrial and Manufacturing Engineering Department
EGR 403
Last name:
MIDTERM EXAM
First name:
Date: 2-2-2006
Instructions: Read all questions carefully. Please organize your work clearly, neatly, and legib
EGR 403
Winter 2005
Engineering Costs (Chapter 2)
Fixed cost (also called indirect cost): such as rent, utility cost, administration costs
Variable cost (also called direct cost): such as labor and material costs used directly on
product, so it is variabl