Exercise Set 2 (Econ 207-Kemal YILDIZ)
1 Consider your preferences for five dollar bills and ten dollar bills (and suppose
that you could have partial 10 and 5 bills).
A: Suppose that all you care about is how much money you have, but you dont
care whethe

Exercise Set 5
Chp7 7.1: George is seen to place an even-money $100,000 bet on the Bulls to win the NBA finals. If
George has a logarithmic utility of wealth function and if his current wealth is $1,000,000, what must he
believe is the minimum probability

Exercise Set 4
1) Question 12.1: Suppose there are 100 identical firms in a perfectly competitive industry. Each firm
has a short-run total cost function of the form
C(q)=(1/300)q3+0.2q2+4q+10
a. Calculate the firms short-run supply curve with q as a func

Academic:
Carroll, Marion L., and Jay Ciaffa. "The Human Genome Project: A Scientific and Ethical
Overview." Genomics. N.p., n.d. Web.
Stamps, Julia and , Wayne, Justin. The Human Genome Project Stanford University. Web.
Garver, Kenneth L. The Human Genom

Math 68 - Spring 2014 - Practice problems with solutions Chapter 3
3.1.1 Find a maximum matching in each graph below. Prove that it is a maximum
matching by exhibiting an optimal solution to the dual problem (minimum vertex cover). Explain why this proves

CMPUT 391 Midterm Exam (O.R. Zaane) October 24th, 2001
Page 2 of 11
ID#_
Section 1: Armstrong Axioms [10 points]
1- (6 points) State the three Armstrong Axioms (reflexivity, augmentation and
transitivity) and demonstrate (argue) that they are sound:
We kn

IE 325: Stochastic Models
Homework Assignment 3
Fall 2016
Due: November 21, 17:00
Question 1. A professor continually gives exams to her students. She can give three possible types of exams, and her class is graded as either having done well or badly. Let

Exercise 7.2
Answer: A decomposition cfw_R1, R2 is a lossless-join decomposition if R1 R2 R1 or
R1 R2 R2.
Let R1 = (A, B, C), R2 = (A, D, E),
R1 R2 = A.
Since A is a candidate key (see below) , Therefore R1 R2 R1.
Starting with A BC, we can conclude: A B

ECON 207
Fall 2016
Exercise Set 5
1. Consider a rm which produces according to the following production
function by using labor and capital:
1
1
f (l; k) = k 4 l 2
(a) Solve the cost minimization problem of this rm for the given wage
rate, w and the renta

IE 325: Stochastic Models
Homework Assignment 3
Fall 2016
Due: November 21, 17:00
Solution of Question 1. (a) Let Xn be the type of exam given by the professor at time
n, the type of the exam is only dependent to the previous step, therefore it is Markov

Exercise Set 3
1) A firm has production function f(k,l) = l0.5 (k 1)0.5. The prices of the inputs are v and w respectively.
a) Find MPk, MPl and RTS.
b) If k is fixed at 5, what is the short-run total cost function, short-run marginal cost function and
sh

ECON207
EXERCISE SET 1 with Solutions
1) Which of these utility functions represent the same preferences as U ( x, y)
a.
b.
c.
d.
xy ?
U ( x, y) 10 xy
U ( x, y) xy
U ( x, y) ln x ln y
All of the above represent the same preferences. (Hint: calculate MRS

ECON207 Quiz3
(Bring in class on March 25, 2015)
1) (30 points) Assume a person has a utility function U = XY, and money income of $15,000, facing an
initial price of X of $10 and price of Y of $15. If the price of Y decreases to $10, answer the following

Hicksian vs Slutsky
Assume a person has a utility function U = XY, and money income of $10,000, facing an initial price of X
of $10 and price of Y of $15. If the price of X increases to $15, answer the following questions:
(a) What was the initial utility

Exercise Set (covers the relevant parts of chapters 3,4,5,6,9)
1) Deniz faces a choice set X = cfw_A, B, C, D. Her preferences are defined by A
Are these preferences complete? Are these preferences transitive?
B, B
D, B
C, D
A.
2) Meryem faces a choice se

ECON207 Exercise Set2
1) Consider the utility function u(x1, x2) = (x1-2)(x2-3) with accompanying budget constraint p1x1
+ p2x2 = I.
a) Write down the indifference curve for this utility function.
b) Form the associated Lagrange function and find the asso