AMS 341 (Spring, 2010)
Exam 2 - Solution notes
Estie Arkin
Mean 73.925, median 76, top quartile 87, high 99, low 12.
1. (10 points) I am planning a vacation once the spring semester is over. There are many tasks
that have to be completed before I can go.
AMS 341 (Spring, 2009)
Estie Arkin
Operations Research I: Deterministic Models
Exam 1: Thursday, March 12, 2009
READ THESE INSTRUCTIONS CAREFULLY. Do not start the exam until told to do so.
Make certain that you have all 7 pages of the exam. You will be h
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Operations Research - Sample Homework Assignments
Fall 1992
Dennis Bricker
Dept. of Industrial Engineering
University of Iowa
rrrrrrrrrrrrrrrrrrrr
rrrrrrrrrr Homework #1 rrrrrrrrr
(1.) L inear Programming Model Formulation. SunCo pr
3
Introduction to Linear
Programming
The development of linear programming has been ranked among the most important scientific advances of the mid-20th century, and we must agree with this assessment. Its impact since just 1950 has been extraordinary. Tod
AMS 341 (Fall, 2016)
Exam 1 - Solution notes
Estie Arkin
Mean 80.4, median 83.5, top quartile 91, bottom quartile 70.75, high 100, low 39.
1. (15 points) To supplement my income I plan to bake some cakes to sell at the Farmers Market.
Each chocolate cake
AMS 341 (Fall, 2016)
Estie Arkin
Operations Research I: Deterministic Models
Homework Set # 3
Due at the beginning of class on on Tuesday, September 27, 2016. Homework submitted
after 10:10am will NOT be accepted.
Read Sections 3-9, 17 of Chapter 4.
1). S
AMS 341 (Fall, 2016)
Estie Arkin
Operations Research I: Deterministic Models
Homework Set # 2
Due in class on Tuesday, September 20, 2016.
Read Sections 7-12 of Chapter 3 and Sections 1-2 of Chapter 4.
1). Section 3-8 Problem 2 (page 92).
2). Section 3-10
AMS 341 (Fall, 2016)
Estie Arkin
Operations Research I: Deterministic Models
Homework Set # 1
Due in class on Thursday, September 8, 2016.
Read Sections 1-5 of Chapter 3.
Do the following problems. Please remember to staple the cover sheet to your homewor
AMS 341
Fall, 2016
Homework Set # 1 Solution Notes
#3, 3.3:
x2
x1
The LP is unbounded.
#4, 3.4: Let xi be the number of days Goldilocks spends in mine i.
min
z = x1 + x2
s.t.
2x1 + x2
2x1 + 3x2
x1 , x2
12
18
0
Graphing the problem, we find the optimal s
AMS 341 (Fall, 2016)
Estie Arkin
Operations Research I: Deterministic Models
Homework Set # 4
Due in class on on Thursday, October 13, 2016.
Read Sections 7-9, 11-13 of Chapter 4.
1). Section 4-11 Problem 1 (page 171).
2). Section 4-12 Problem 4 (page 178
AMS 341
Fall, 2016
Homework Set # 5 Solution Notes
#5, 5.1:
x2
A
B(20, 10)
10
x1
10
C
D
(a) The slopes are 21 for the first constraint and 2 for the second. To keep the current basis remain optimal, the
slope c21 of the isoprofit line must satisfy 2 c21 2
AMS 341 (Fall, 2016)
Estie Arkin
Operations Research I: Deterministic Models
Homework Set # 6
Due at the beginning of class on on Tuesday, November 1, 2016. Homework submitted after
10:10am will NOT be accepted.
Read Chapter 6 Sections 5-8, (no need to re
AMS 341 (Summer, 2016)
Qian Li
Operations Research I: Deterministic Models
Homework Set # 1
Due in class on Tuesday, June 7, 2016.
Read Sections 1-5, 7-12 of Chapter 3.
Do the following problems. Please remember to staple the cover sheet to your homework!
Multiple linear regression is used to model the relationship between one nu
meric outcome or dependent variable (Y) and several (multiple) explanatory
or independent or regressor variables (X).
#Download data in www.math.uah.edu/stat/data/Galton.csv
#getw
AMS341 HW1
p.63 #6 Let W = acres of wheat planted and C = acres of corn planted. Then the appropriate LP is
max = 200W + 300C
st W + C45 (Land)
3W + 2C100 (Workers)
2W +
Consider Ax = b where A has m rows and n columns.
Denition: A Basic solution is obtained by setting n m variables (called the non basic variables
equal to zero, and solving for the remaining m basic variables. Techincal requirement: The columns
of the bas
Denition: A Linear Programming problem is in standard form if:
All variables are on left side of constraint, the RHS (right hand side) is a non negative constant
All constraints are =
All variables are 0
max z = 3x + 2y 5w
s.t.
x+y
2
2x w
5
3x y + 2w
10
A company accountant has two sources of credit:
interest
Max available
Bank Loan
20%
80,000$
Goverment Funding
8%
90,000$
A goverment regulation requires that goverment funding cannot exceed twice the bank loan.
The company must borrow at least $ 100,000.
6.
Let W = acres of wheat planted and C = acres of corn planted. Then the
appropriate LP is
max = 200W + 300C
st
W + C 45 (Land)
3W + 2C 100 (Workers)
2W + 4C 120 (Fertilizer)
W0,C0
z = $10000,
W = C = 20 acres.
2.
AB is . CD is . Dotted line is z : . The
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-M1 w 5913an mum is a balanced Wspartatrm [WV/ale! 1"?
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m
1
7 77 mn _.27= 103)? CJ 5 1 Egg-iii
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-,_,_,_._ 1,7 ,4, AL 7 . 5 '1 It
7 at. 5.1. m P
I
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I
' 3
77 7-7.
AMS 341 (Summer, 2017)
Qian Li
Midterm Exam: Solution notes
Mean 78.39, median 80, high 91, low 57.
1. (10 points) Consider the following LP:
min z = 2x1 x2 + 2x3
s.t.
x 1 + x2
10
x1 x2 + 2x3
= 2
x1
0
x2
0
x3
unrestricted
Rewrite the LP in standard form.
AMS 341 (Summer, 2017)
Qian Li
Homework Set # 1: Solution notes
1).
The LP has a unique optimal solution at x1 = 3, x2 = 0, z = 9.
2). Define variables xi the number of valves bought from supplier i = 1, 2, 3. The LP formulation is:
min
z = 5x1 + 4x2 + 3x
AMS 341 (Summer, 2017)
Qian Li
Operations Research I: Deterministic Models
Homework Set # 3
Due in class on Thursday, June 22, 2017.
Read Chapter 6 Sections 5-8, (no need to read the proofs).
1). Problem 4 Section 6-5 (page 301).
2). Problem 2 Section 6-7