INSY 7420, 7426
Linear Programming
Homework 3
Due date:
INSY 7420: Tuesday, April 5th, midnight
INSY 7426: Tuesday, April 12th, at the beginning of the class (3:30pm)
1. Solve equation ex = x2 using Newtons method. When determining the appropriate number

INSY 7420 Linear Programming & Network Flows
Practice Problems to Accompany Slide Set #5
These problems will not be graded
SOLUTION KEY
1. (from RJS) The starting and current tableaus of a given problem are shown below. Find the
values of the unknowns a t

INSY 7420, 7426
Linear Programming
Exam 3 (take-home)
Due date:
INSY 7420: Monday, May 2nd, midnight
INSY 7426: Monday, May 2nd, midnight
1. Agent Smith (the character from The Matrix movies) has a special power: he can self-replicate, so if
he needs to d

INSY 7420
Linear Programming
Homework 1 solutions
Problem 1
Sets and Parameters
i Item index i cfw_1, 2, ., n
ci Street value of item i
wi Weight of item i
vi Volume of item i
M axW Maximum allowed weight (=500)
M axV Maximum allowed volume (=300)

INSY 7420
Linear Programming
Homework 2 solutions
Problem 1 Part a
Sets and Parameters
i, j Blood type index i cfw_1, 2, 3, 4 (A, B, O, AB)
si Number of bags in stock of the blood type i
di Demand of blood type i
yij A table with 1 and 0 values, which

Network Optimization, Homework 2 Solutions
Nedialko B. Dimitrov
1. Run Dijkstras algorithm on the graph in Figure 1 with start node 0. Specifically,
(a) List the order in which nodes are popped off the priority queue.
u).
(b) For each node u, list the se

INSY 7420, 7426
Linear Programming
Exam 1
1. A firm has just discovered that, for the next three months, it will have an insufficient supply of warehouse space. The additional space requirements for the next three months are:
Month
Space required (1000 sq

INSY 7420 Linear Programming & Network Flows
Practice Problems to Accompany Slide Set #1
These problems will not be graded
SOLUTION KEY
1. (from BJS) Consider the problem: Minimize cx subject to Ax b, x 0.
Consider that we started with the following probl

INSY 7420/7426 Linear Programming & Network Flows
Homework #1
See Canvas for Due Date
Your answers must be typed.
This is a group/team assignment. Teams will be assigned in Canvas.
The document you submit must reflect the work of your team only.
1. A t

INSY 7420 Linear Programming & Network Flows
Practice Problems to Accompany Slide Set #10
These problems will not be graded
SOLUTION KEY
1. [From BJS] Consider the following optimal tableau for a maximization problem, where the
constraints are of the type

INSY 7420 Linear Programming & Network Flows
Practice Problems for Transportation and Assignment
These problems will not be graded
SOLUTION KEY
Problem 1
NOTE:
X
si =
X
dj , so this problem is balanced.
a) Yes, the solution is basic:
There are m + n 1 =

INSY 7420 Linear Programming & Network Flows
Practice Problems to Accompany Slide Set #12
These problems will not be graded
1. [From BJS] Solve the following network flow problem using x13 , x34 , and x42 as part of a
starting basis.
b1 = 3
b3 = 5
c13 = 4

INSY 7420/7426 Linear Programming & Network Flows
Practice Problems to Accompany Slide Set #3
These problems will not be graded
SOLUTION KEY
1. (from BJS) Show that the vectors
1
a1 = 0 ,
0
0
a2 = 1 ,
0
1
and a3 = 5
3
0
3
form a basis for R . Supp

(c) Is the feasible region unbounded?
(d) Draw an isocontour and indicate the direction of improvement.
(e) Does an optimal solution exist? Why (or why not)?
(f) Is the objective function value unbounded?
(g) If an optimal solution exists, clearly mark it

INSY 7420 Linear Programming & Network Flows
Practice Problems to Accompany Slide Set #9
These problems will not be graded
1. Solve the following problem by the dual simplex method:
Min
s.t.
2x1 + 3x2 + 5x3 + 6x4
2x1 + 2x2 + 3x3 + x4
3
x1 + x2 x3 + 3x4 2

INSY 7420 Linear Programming & Network Flows
Practice Problems to Accompany Slide Set #6
These problems will not be graded
1. Consider the following problem:
Min
s.t.
2x1 x2 + 6x3
2x1 + x2 x3 10
4x1 2x2 + 2x3 16
x1 ,
x2 ,
x3 0
(a) Solve by the Two-Phase M

INSY 7420 Linear Programming & Network Flows
Practice Problems to Accompany Slide Set #8
These problems will not be graded
1. (from BJS) Give the dual of the following problem:
Max
s.t.
2x1 +
2x1 +
2x1
3x2 + 5x3
x2 + 3x3 + x4
+ x3
2x2 + x3 + x4
x1
x2 , x

INSY 7420 Linear Programming & Network Flows
Practice Problems to Accompany Slide Set #5
These problems will not be graded
1. (from RJS) The starting and current tableaus of a given problem are shown below. Find the
values of the unknowns a through n.
St

INSY 7420 Linear Programming & Network Flows
Practice Problems for Transportation and Assignment
These problems will not be graded
1. [from BJS] Consider the following transportation tableau, with cij in the upper-left corner of
each cell and xij in the l

INSY 7420 Linear Programming & Network Flows
Practice Problems to Accompany Slide Set #4
These problems will not be graded
SOLUTION KEY
1. Consider the following LP and corresponding graphical representation:
x2
Max z = 3x1 + 5x2
s.t.
x1
2x2
3x1 + 2x2
x1

INSY 7420
Linear Programming
Homework 1
Due date: Thursday February 4th at the end of the class
Directions: a hard-copy of the report is due at the end of the class on Thursday February 4th.
For the problems that require you to come up with a problem form

INSY 7420, 7426
Linear Programming
Homework 2
Due date:
INSY 7420: Tuesday, February 23rd, midnight
INSY 7426: Tuesday, March 1st, at the beginning of the class (3:30pm)
1. Suppose a small hospital has 155 bags of blood in stock and a total of 150 patient

Condensation Phenomena in
oil-refrigerant mixture
Mrunal G. Gunjal | Boiling and Condensation |11/24/2016
Introduction
Lubricant is necessary in refrigeration systems to lubricate the moving parts. Though lubricant
increases life of compressor, but it alt

1Auburn Realty Rental Application
P.O. Box 3688
Auburn, AL 36831-3688
APPLICATION REQUIREMENTS
1.
2.
Please read entire application. If there is anything you do not understand or if you have any questions, please ask.
Application must be completed with al

INSY 7420
Homework 1
[email protected]
A group of young entrepreneurs earns a (temporarily) steady living by acquiring inadequately
supervised items from electronics stores and re-selling them. Each item has a street value, a weight,
and a volume; there

Homework #5
1. A process consists of three sequential steps with the following yields:
Y1=99.8, Y2=97.4, Y3=96.4
a. Determine the RTY.
Answer: The RTY or rolled throughput yield for the process is given by
RTY= (Y1/100) x (Y2/100) x (Y3/100)
RTY= (99.8/10

Southern Company Paperless Billing Payment
Confirmation
MRUNAL GAJENDRA GUNJAL
549 E GLENN AVE , APT 12
AUBURN, AL 36830
Account Number: 61503-92275
Account Description: home
Payment Type: Checking
Bank Name: Wells Fargo
Name on Bank Account: Mrunal Gunja

INSY 7420, 7426
Linear Programming
Homework 3
Due date:
INSY 7420: Tuesday, April 5th, midnight
INSY 7426: Tuesday, April 12th, at the beginning of the class (3:30pm)
1. Solve equation ex = x2 using Newtons method. When determining the appropriate number

INSY 7420, 7426
Linear Programming
Summary of concepts and techniques so far
Below is a list of topics and concepts that we have discussed in class so far. I list the corresponding chapters
in recommended books mentioned in the syllabus (Vanderbei, AMPL b

INSY 7420, 7426
Linear Programming
Summary of concepts and techniques so far (Part II)
Below is a list of topics and concepts that we have discussed in class after the posting of the previous list. I
list the corresponding chapters in recommended books (A

Condensation Phenomena in
oil-refrigerant mixture
Mrunal G. Gunjal | Boiling and Condensation |11/24/2016
Introduction
Lubricant is necessary in refrigeration systems to lubricate the moving parts. Though lubricant
increases life of compressor, but it alt

LIST SHOWING THE MINORITY STATUS CERTIFICATES ISSUED BY NCMEI
S.No.
Case No.
1
15 of 2005
2
20 of 2005
3
195 of 2005
4
5
6
224 of 2005
225 of 2005
7
8
9
10
258 of 2005
11
213 of 2005
12
214 of 2005
13
215 of 2005
14
216 of 2005
15
217 of 2005
16
254 of 20

TAP - BANDRA MENU RATE
Display Name
(FS) SET MENU
Rate
SaleType
Kitchen
0.00 Hard Liquor
Bar
700.00 Hard Liquor
Bar
(FS) SET MENU 3000
3000.00 Hard Liquor
Bar
(FS) DJ CHARGES
3000.00 Hard Liquor
Bar
500.00 Hard Liquor
Bar
SET MENU 4000
4000.00 Hard Liquor