CO 250 Assignment 1 Fall 2012
Due: Friday September 21 at 10:30 a.m.
Total marks: 40
Solutions are due in the CS drop box 3.These boxes are the PINK boxes on the 3rd oor of the MC
building, by the ele
Assignment 1 Corporate Finance II (ACTSC372)
Due date: Feb 4, 5:00pm. Outside MC 6016 _
1. Consider the following two stocks: Expected Return
30% 19%
Beta Murck Pharmaceutical Pizer Drug Corp
1.4 0.7
CO 250 Introduction to Optimization Fall 2012 Solutions to Assignment 7
1. [8 marks = 4 + 4]
(a) The cone generated by cfw_(1, 0, 0), (0, 1, 0), (0, 0, 1), (1, 1, 0) is
C = cfw_x : x = 1 (1, 0, 0) + 2
CO 250 Introduction to Optimization Fall 2012 Solutions to Assignment 6
1. [6 marks] Without loss of generality, we can assume that (P ) is in canonical form for B , so
that the constraints read as
xB
CO 250 Introduction to Optimization Fall 2012 Solutions to Assignment 5
1. [18 marks = 14 + 4]
(a)
i. This is not in canonical form because c3 > 0. One can use the formula to get it into
canonical for
CO 250 Introduction to Optimization Fall 2012 Solutions to Assignment 3
1. [10 marks = 5 + 4 + 1]
(a) Write x2 = x2 and x3 = u3 v3 . The problem in SEF is
max
2x1 +
subj. to
3x1
x2 3u3 + 3v3
2x2
x2 +
AMath 350
Assignment #2
Fall 2012
due Wednesday, September 26th
Hand in #2, 5, 6, and 7.
1. Are the following equations separable, linear, neither, or both?
a)
b)
c)
d)
e)
f)
2.
dy
= y + ex
dx
dy
= ex
AMath 350
Assignment #2
Fall 2011
SOLUTIONS
1. (Are the given equations separable, linear, neither, or both?)
a) Not separable, but linear.
b) Separable, but non linear.
c) Both.
d) Neither.
e) Both.
Dierential Equations
for Business and Economics
Course Notes for AMATH 350
Sue Ann Campbell
Department of Applied Mathematics
University of Waterloo
Fall 2011
c S.A. Campbell 2010
Contents
1 Introduct
AMath 350
Assignment #4
Fall 2012
due Friday, October 12th
Hand in #2, #3, #5, #6, and #7.
1. Find the general solutions to the following ODEs:
a) y 00 + y 0
2y = 0
b) y 00 + 4y 0 + 4y = 0
c) y 00 + 2
AMath 350
Assignment #4
Fall 2011
Solutions
1.
a) y 00 + y 0 2y = 0
Solution: The characteristic equation is m2 + m 2 = 0, which gives
(m + 2)(m 1) = 0 =) m = 2, 1. Therefore the general solution is
y
AMath 350
Assignment #5
Fall 2011
NOT for submission
1. Solve the following equations, using the variation of parameters method:
1x
e
x
b) y + y = sin (x2 )
a) y 2y + y =
2.
for x > 0
Note:
sec xdx =
AMath 350
Assignment #3
Fall 2012
due Wednesday, October 3rd
Hand in #1, #3, #5, and #6
1.
dy
a) Consider the equation x2 + 3xy = 1. Find the solution if y (1) = 1, and
dx
state its interval of existe
AMath 350
Assignment #3
Fall 2012
Solutions
1.
dy
+ 3xy = 1. Find the solution if y (1) = 1,
dx
and state its interval of existence.)
dy 3
1
Solution: This is linear. In standard form it is
+ y = 2.
d
Sample Interview Question
There are many types of interview questions and some of them are dedicated to reflect a
certain aspect of the interviewees. For example, the interviewer can ask the question,
Review Questions
Test 1 - HRM 200
Spring 2013
Define discrimination?
What are two types of discrimination?
What is reasonable accommodation?
What is undue hardship?
What is a BFOR?
Define Harass
CO 250 Introduction to Optimization Fall 2012 Solutions to Assignment 1
1. Academic Integrity. [3 marks = 1+1+1]
(a) The main oences are Cheating, Plagiarism, Unauthorized collaboration, Misrepresenta
CO250 Sample Final Exam
Question 1 (12 marks ). Formulation
The company Newmusic needs to set the price $x of each item downloaded. They wish
to maximize the prot, which is calculated as total price o
1. LP formulation [12 marks]
CO Toasters needs to produce 1000 units of their new toaster model. There are three ways this toaster can
be produced: manually, semi-automatically, and robotically. Manua
ACTSC 371 Corporate Finance 1
Assignment 2 Due Date November 5, 2012 at 3:30 pm
Please submit your assignment in the DROP BOXES outside the math tutorial centre.
Question 1: The annual earnings of Ava
CO250 ASSIGNMENT 2
Due Friday, 28th September at 10:30 in the drop boxes
CS box 3, slots 3 6 (3rd oor, near the bridge)
Total marks: out of 40 (plus up to 5 bonus)
1. [5 marks] Formulate an IP whose s
CO 250
Assignment 2
Solutions
Total marks: out of 40 (plus up to 5 bonus)
1. [5 marks]
Solution. Let xij be a 0-1 variable indicating that an X is placed in the (i, j ) position. Then the
number of 1s
C O250 I NTRODUCTION TO O PTIMIZATION - A SSIGNMENT 4 ( PRACTICE ONLY !)
Do not hand this assignment in. It is for practice only and will not be marked. Solutions will be posted
approx. October 11.
Ex
C O250 I NTRODUCTION TO O PTIMIZATION - P RACTICE A SSIGNMENT 4 SOLUTIONS
Exercise 1 (10 marks).
(a) No, since the columns cfw_1, 2, 5 do not form an identity matrix (they are the right columns but th
CO 250 Assignment 3 Fall 2012
Due: Friday October 5 at 10:30 a.m.
Total marks: 50.
Solutions are due in the CS drop box 3 (3rd oor of the MC building, by the elevators and the
bridge to DC) by the due
CO 250 Assignment 5 Fall 2012
Due: Friday October 19 at 10:30 a.m.
Total marks: 30.
Solutions are due in the CS drop box 3 (3rd oor of the MC building, by the elevators
and the bridge to DC) by the du