Econ 100B: Tang
Practice Problem Set #4
1) Where h=hrs of service per week, assume the inverse demand curve for
services of child actors is given by
Pd=10-h/20
And the inverse supply curve for services of child actors is given by
Ps=h/20
a. Assuming the m
Midterm 2 (B Blue) Yuan Emily Tang 2014
1
1) A profit-maximizing replica painting firm has the production function q = 4L2 where q is number of
paintings produced and L is hours of labor hired. Price of a painting P=$30. Wage paid per unit of labor is w.
Econ 100B: Tang
1) Suppose the competitive market price for lunchboxes is $11/unit. Short run
total costs for lunchboxes are: C(q) = 9 + 3q + q 2
a) How many lunchboxes will this firm make?
b) Does the second-order condition for this problem hold?
c) At w
Midterm 2 (A Yellow) Yuan Emily Tang 2014
1) The short-run cost function for Hoangs Terrariums is C(q)=15+4q+q2. Below what price would Hoangs
Terrariums be better off shutting down? (3 pts)
shutdown if P<min AVC
AVC=4+q
Shutdown if P<4
!
!
!
!
2) A firm
Econ 100B: Tang
1) Suppose the competitive market price for lunchboxes is $11/unit. Short run
total costs for lunchboxes are: C(q) = 9 + 3q + q 2
a) How many lunchboxes will this firm make?
b) Does the second-order condition for this problem hold?
c) At w
Economics 100B Syllabus
Intermediate Microeconomics:
Production, Costs, Supply and Competitive Markets
UCSD Fall 2014, Tang, Section A00
Times and Places
Lectures:
MWF 10-10:50a Pepper Canyon 106
Discussion Sections (attend any one of four):
Tuesdays 6-6:
Economics 100B Problem Set 4 Solutions
Prof. Galperti
Spring 2015
1
Group CP Consumer and Producer Theory
17. Suppose a rms cost function is c(q) = q 2 + 100. Compute the average cost, marginal
cost, and average variable cost functions. Also compute the q
Economics 100B Problem Set 1 Solutions
Prof. Galperti
Spring 2015
1
Group CP Consumer and Producer Theory
1. For each of the following, say whether the production technology satises (i) Diminishing
MRTS, (ii) Diminishing Marginal Product in each input, an
Economics 100B: Microeconomics, Part B
Spring 2015, Professor Simone Galperti
This is the second of three courses in the core microeconomics sequence. It builds on the material presented
in Economics 100A. The principal themes of the course will be the th
Economics 100B Midterm Examination 2
Prof. Simone Galperti, Spring 2015
You have 80 minutes to complete this examination. You may not use any notes, calculators, cellphones,
or books during the examination. Write your answers in pen, including all necessa
Economics 100b Final Examination (B)
Prof. Galperti, Winter 2014
1 2 3 4 5
8 12 20 12 15
6 Total
18
85
Your name:
Last two digits of your student ID:
If you signed the Buckley
Waiver, please circle this:
WAIVER
You have two hours and 45 minutes to complet
Economics 100B, Spring 2015, Midterm Practice Exercises
1
1
Exercise 1: Consider the production technology f (L, K) = L 3 K 3 . Use the Lagrangian approach to compute the long-run cost function of the rm.
1
space
2
1
1
Exercise 2: Consider the production
Economics 100B, Spring 2015, Practice Exercises on Optimal
Supply
Suppose that the cost function of a rm is c(q) = 4q 3 + 2q + 27.
(a) Calculate the short-run supply of the rm.
1
space
2
space
3
(b) How much does the rm supply when the price p = 17? Is th
Intermediate Microeconomics Part II:
Firms, Competitive Markets, and Welfare
Simone Galperti
April 2015 version
Section 0. (Page 1)
You studied a model of consumer preferences and behavior in the rst part
of the Intermediate Microeconomics course. In this
Homework 7 Solutions
Problem 6.3.3. In this exercise we outline how to construct a regular pentagon. Let = cos(2/5)+i sin(2/5).
(a) Show that is a primitive fth root of unity.
(b) Show that ( + 1 )2 + ( +1 ) 1 = 0.
(c) Show that + 1 = (1 + 5)/2.
(d) Show
Homework 6 Solutions
Problem 6.1.3. Suppose that u is algebraic over the eld K, and that a K. Show that u + a is algebraic over
K, nd its minimal polynomial over K, and show that the degree of u + a over K is equal to the degree of u over
K.
Proof. Let f
Homework 5 Solutions
Problem 5.3.20. In the ring Z[i] of Gaussian integers let p be the ideal generated by a prime number. Show
that Z[i]/ p has p2 elements, and has characteristic p.
Proof. Dene a map : Zp [x] Z[i]/ p where (f (x) = f (i) + p . One can v
Homework 4 Solutions
Problem 5.1.4. Let = cfw_m + n 2 | m, n Z.
R
(a) Show that m + n 2 is a unit in R if and only if m2 2n2 = 1.
(b) Show that 1 + 2 has innite order in R .
(c) Show that 1 and 1 are the only units that have nite order in R .
Proof. (a) D
Homework 3 Solutions
Problem 1. Suppose F is a eld and f is a polynomial with coecients in F . Let a be the leading coecient of
f . Prove that there exists an integer m and irreducible monic polynomials p1 , . . . , pm such that f = ap1 pm .
Proof. Suppos
Economics 100B Exercise Set B
Prof. Galperti
Spring 2015
1
Group CP Consumer and Producer Theory
1. For each of the following, say whether the production technology satises (i) Diminishing
MRTS, (ii) Diminishing Marginal Product in each input, and (iii) C
Economics 100B Midterm Examination 2
Prof. Simone Galperti, Spring 2015
You have 80 minutes to complete this examination. You may not use any notes, calculators, cellphones,
or books during the examination. Write your answers in pen, including all necessa
1 2 3 4 5 Total Yourname, So/u-lwn:
10 6 10 14 10 50
Last two digits of your student ID: _
Economics 10% Midterm Examination 2
Prof. Watson, Winter 2015, February 12
You have 72 minutes to complete this examination. You may not use n
1 2 3 4 l 5 Total Your name; H
10 10 10 10 10 50
| - | Last two digits of your student ID: _
Economics 10Gb Midterm Examination 1
Prof. Watson, Winter 2015, January 20
You have 65 minutes to complete this examination. You may not use notes, calcu