Homework II
ESI 6418 Linear Programming & Extensions
1. Consider the following LP:
min z = 2x1 5x2 + 6x3
s.t.
3x1 + 7x2 + x3 1
5x1 + 3x2 x3 10
2x1 + 5x2 = 12
x1 , x2 0, x3 unrestricted
(a) Bring the LP to standard form.
(b) Suppose the objective function
Object6
An Introduction to Management Science :
Quantitative Approaches to Decision Making
Screenreader assistance: To improve accessibility we have several tips for navigating eBooks in
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Question 1
15 Points
A manufacturing plant that produces widgets is evaluating the quality of their production line and
considers the line successful if at least 90% ofthe widgets produced are free ofany defects. A random
sample of 10 widgets is selected
15.21 Part B)
The residual plots do not identify any concern with model accuracy.
Where it says Scanned by Cam Scanner, underneath it reads 10796.69 - 9086.8556 = 1709.83.
6.5 Part B)
There is nothing unusual about either of the plots and they both do not
Quiz 1 Solution
Lecture 6
1. Identify the following symbols (name them):
X
s
s2
2
n
1-
()
2. Describe the meanings of (Type I) and (Type II) in one sentence each.
()
3. Sketch the Normal and Standard Normal distributions (show the mean and standard devi
1
Investigation of the Effects of Backpack Weight and Body Weight on Back Problems
ESI4221 Group Project
11/3/2016
Project Group #7
Sean Birkholz
Madison Blake
Lucas Gama
Jesse Gonzalez
Alexis Hardisty
2
Introduction
The following study was conducted to e
Alexis Hardisty
ESI4221
Midterm Mini Projects
Binomial Question:
Part 1: Discussion
According to StatTrek, a binomial experiment is a statistical experiment that has the following
properties:(1) they consist of n repeated Bernoulli trials, with each trial
In Class Quiz
Lecture 23
The factors that influence the breaking strength of a synthetic fiber are being studied. Four production
machines and three operators are chosen and a multifactor ANOVA experiment is run using fiber from
the same production batch.
In Class Exercise
Lecture 21
An experiment on rocket shooting distance is conducted to test the effects of using different fuels and
propellers. The observations are shown in the following table:
Fuel \ Propeller
F1
F2
F3
F4
P1
19.40
17.53
16.37
14.27
20.
E81 4312 Sample Exam 2 Sometime
Name (Please Print) PID
1. [20 points] Given the cost table, please use Hungarian method to find the assignment
with least total cost. (You need show which job is assigned to which worker. And give
the minimal total cost.)
Homework II
ESI 4312 Operations Research
Please turn in the homework solutions at the beginning of the class. Late
submission will be penalized. Your homework should be stapled.
1. (25 points) Consider the following LP:
min z = 2x1 5x2 + 6x3
s.t.
3x1 + 7x
Homework III Solutions
ESI 4312 Operations Research
1. (50 points) Consider the following LP:
max z =
3x1 + 2x2
2x1 + x2 100
s.t.
x1 + x2 80
x1 40
x1 , x2 0
In order to bring the problem into standard form, we have to add the slack variables
s1 , s2 and s
Homework III Solutions
ESI 4312 Operations Research
1. (25 points) Consider the following LP:
max z = 3x1 + x2
4x1 + x2 4
s.t.
2x1 + x2 4
x1 + x2 = 3
x1 , x2 0
(a) Solve the problem graphically
(b) Solve the LP using the Big M method.
(c) Identify in each
ESI4312
Quiz 5 Solutions
Name (Please Print)_
PID_
Suppose you are assigned to manage a project, which has 7 activities as follows,
Activity
Description
Predecessors Duration(weeks)
A
Finish the foundation
5
B
Build the walls and ceilings
A
8
C
Build the
Homework I Solutions
ESI 4312 Operations Research I
1. (20 points)
Decision Variables:
1 : number of hours production unit 1 is used
(1)
2 : number of hours production unit 2 is used
(2)
Objective function:
The sum of the cost of the two running processes
Fall 2016
Sep 1st
Quiz 1 Solution
Name (Please Print)_
UCFID_
1. Farmer Joe needs to plant both corn and rice in the next summer. Market price of corn is
$.6/lb and $.8/lb for rice. Every acre can yield 1000lb corn or 800lb rice in one summer.
Joe needs a
ESI4312
Quiz 3 Solutions
Name (Please Print)_
2016
NID_
1. Given a linear program as follows,
Max = $ + &
s.t. 2$ + & = 3,
$ + 2& 2,
$ , & 0,
a) After transform the above LP into standard/equation form, find all the basic solutions
and their corresponding
ESI4312
Quiz 4 Solutions
Name (Please Print)_
PID_
1. A network is given as follows, where the numbers on arcs are the unit costs. Find the
shortest paths from node 0 to all other nodes by Dijkstras algorithm. (No point will be
given if steps of Dijkstras
ESI4312
Sep 22nd, 2016
Quiz 2
Name (Please Print)_
UCF NID_
1. Given a linear program as follows,
Max = $ + &
s.t. 2$ + & = 3,
$ + 2& 2,
$ , & 0,
After transform the above LP into standard/equation form, find all the basic solutions
and their correspondin
ESI 5306
Operations Research
LP Applications
University of Central Florida
Orlando, FL
Material prepared by Vernet Lasrado, UCF.
Topics Covered
Diet Problem
Workforce
Marketing Applications:
Assignment
Blending Problem
Media Selection
Marketing Research
F
ESI 5306
Operations Research
Simplex Method
University of Central Florida
Orlando, FL
Material prepared by Vernet Lasrado & Dima Nazzal, IEMS, UCF.
Overview of the Simplex Method
Steps Leading to the Simplex Method
Formulate
Problem
as LP
Put In
Standard
ESI 5306
Operations Research
Duality
University of Central Florida
Orlando, FL
Material prepared by Vernet Lasrado, Dima Nazzal , IEMS, UCF.
Canonical Form
A maximization linear program is said to
be in canonical form if all constraints are
less than or e
ESI4234 Quality Engineering
u01a1 HOMEWORK
After I build the set of X-bar & R charts for the combined Day 1 & 2 data, I evaluate if
the process is in control and stated that it was out of control. Then I moved to build a
set of X-bar & R charts for the co
A process measure of interest has a target value of 1,000 with a +/- tolerance of
450. Measuring the process over an extended period of time, it was found to
be producing at an X-bar of 1,450 and Sigma-hat of 100. Calculate the Cp and
Cpk capability indic
ESI4234 Quality Engineering
u02a1 HOMEWORK
Produce a Histogram of the sampling data to determine if the distribution of values is normal enough to support f
Histogram
40.00
35.00
30.00
25.00
20.00
Count
15.00
10.00
5.00
0.00
3.735 To 3.74
3.74 To 3.745
3.
ESI 4312
Operations Research
Distribution and Network Models: Part
2
Material prepared by Dima Nazzal , IEMS, UCF.
Distribution & Network Models
REMEMBER In the LP Formulation
For each node
FLOW IN = FLOW OUT
Maximal Flow Problem
The maximal flow problem