Economics 172A

 

       

NAME

OFFICE

HOURS

Joel SOBEL

Econ 311

Tu 12:30-1:30, Th 9:50-10:50

Chulyoung KIM

SH 224

Tu 9:30-10:30

Michael WITHERS

SH 228

Wed 1-2

 

 

View course materials in PDF format with the freely downloadable Adobe Acrobat Reader.

 

 

 

Announcements

10-19:  Lecture Notes for 10-21 posted below.  (These were posted as the preliminary version of 10-19 notes, if you printed them out before, donŐt do it again.)

10-19:  10-21 lecture will use Excel information from VII in notes (posted below).

10-16:  Important: Information about Exam Seating Posted Below

10-12:  Quiz 1 and answers posted below.

10-12:  Quiz 1 available at sections.

10-12:  Next batch of recommended problems:

Problem Set 2: 2004: #2, #3; 2007: #2, #3; 2008: #1, #3

Midterm 2 2004: all; 2007: 5; 2008 (midterm 2) all.

Final 2004: 3, 5; 2008: 5,6

10-5:  Next Quiz, Thursday October 21. (At one point in outline I suggest that there would be a quiz on October 14.  This is wrong.  Sorry.)

10-5: I posted corrected answers to Problem Set 1, 2008 (the values for Problem 1, part e (iii and iv) were wrong.

10-5:  Problems on current material:

Problem Set 2, 2004: #1, #4; 2007: #1; 2008: #2.

Midterm 1, 2004: all; Midterm 2007: 1, 4; Midterm 1, 2008: 2

 

 

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Seating for Midterm

 

General Information About Seating

Seating Assignments

 

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Lectures

 

9-23:  Introduction and Problem Formulation

9-28:  Problem Formulation and Graphing

9-30:  Graphing and Duality

10-5:  Duality and Complementary Slackness

10-7:  Complementary Slackness Examples

10-12: More Complementary Slackness Examples and the Linear Production Problem

10-14: Sensitivity Analysis (updated 10-14)

10-19:  Sensitivity Analysis (updated 10-19 – essentially a subset of what had been posted)

10-21: Sensitivity Analysis Example (preliminary – previously posted as part of 10-19 notes)

 

 

 

Course Outline

 

 

 

 

 

 

 

Notes

I.         Introduction and Problem Formulation (pdf)

 

II.        Graphical Solutions (pdf)

 

III.        A Simplex Algorithm Example (pdf) (Extra Material: Not Covered in Lectures or Examinations)

 

IV.        Using Excel to Solve Linear Programming Problems (pdf)

Sample Spreadsheets:

Template(pdf); Solution(pdf); Sensitivity(pdf); Template in Excel Format (xls)

 

           V.         ProblemTransformations (pdf)  (Extra Material: Not Covered in Lectures or Examinations)

 

           VI.        Duality and Complementary Slackness (pdf)

 

           VII.       Sensitivity Analysis (pdf)          Examples (xls)

 

           VIII.       The Transportation Problem (pdf)         Examples (xls)

 

           IX.         Two-Person Zero-Sum Game Theory (pdf) (Extra Material: Not Covered in Lectures or Examinations)

 

           X.          Integer Programming(pdf)

 

Supplementary Formulation Problems and Solutions

 

Fall 2008 Homework and Solutions

 

Problem Set 1                                  Solutions(.pdf)   Excel Information(.xls)  

 

Problem Set 2                              Excel Information for Problem Set 2 (xls) Solutions(.pdf)  Excel Spreadsheets(.xls)

Problem Set 3                              Solutions(.pdf)

 

 

 

Fall 2007 Homework and Solutions

 

Problem Set 1             Problem Set 1 Answers  Excel Information

Problem Set 2             Problem Set 2 Answers  Excel Information

Problem Set 3             Problem Set 3 Answers  Excel Information

 

Fall 2004 Homework and Solutions

Homework  Assignment 1 (.pdf)                          Solutions(.pdf)   Excel Information (.xls)

Homework Assignment 2 (.pdf)                             Solutions(.pdf)   Excel Information (.xls)

Homework Assignment 3 (.pdf)                           Solutions (.pdf)  Excel Information (.xls)

 

 

 

 

Fall 2008 Exams and Solutions

 

 Midterm 1(.pdf)                    Solutions to Midterm(.pdf)

 Midterm 2(.pdf)                    Solutions to Midterm(.pdf)  Excel Information (Problem 2) (.xls) Excel Information (Form B) (.xls)

 Final Exam                             suggested answers

 

Fall 2007 Exams and Solutions

 Midterm(.pdf)                    Solutions to Midterm (.pdf)      Excel Information (..xls)

 Final Exam, suggested answers

 

Fall 2004 Exams and Solutions

 

            Midterm 1-A(.pdf)    Midterm 1-B (.pdf)    Solutions to Midterm 1 (.pdf)

Midterm 2-A(.pdf)  Midterm 2-B(.pdf)      Solutions to Midterm 2 (.pdf) Excel Spreadsheet(.xls)

Final Exam, suggested answers,  and an excel spreadsheet

 

           


 
Fall 2010 Quizzes, Exams, and Solutions

 

 

Quiz 1     Answers