Daniel Taylor

AAEC 5024 

Mathematical Programming for Agricultural Economists
Class Handouts and Notes 
Fall 2008

Index
Handouts  
Homework  
Copies of previous exams
Syllabus and Other Course Information  
Answer Keys for Old Exams
The Simplex Procedure -- PowerPoint ~ 1.82 Meg 
The Simplex Procedure  -- PDF ~ 140 K -- the less than or equal signs on the second slide are fixed after a fashion.
Term Projects/Presentations 

 

PART I: HANDOUTS

[Index]
No. Formats Title
1 Solutions to Systems of Simultaneous Equations
2 A Review of Conditions Affecting the Existence and Uniqueness of Simultaneous Solutions to Systems of Linear Equations 
2A First In Class LP Example in LINDO
2B First In Class LP Example in GAMS -- "matrix format" -- input and listing
2C First In Class LP Example in GAMS -- "Equation format" -- input
2D First In Class LP Example in QM
NA First In Class LP Example in GAMS -- "Equation format" -- listing -- optional handout
3 Figure 5.1: Linear Programming Opportunity Set 
4 Maximizing Per Minute Net Profit 
4A Southern Krates Maximization Problem in LINDO
NA Southern Krates Maximization Problem in -- GAMS -- Input -- optional handout
NA Southern Krates Maximization Problem in -- GAMS -- output -- optional handout
5 Tableaus of the Southern Krates Solution with Matrix Algebra Implications 
NA LINDO -- Tie for Entering Basic Variable -- Optional Handout
NA GAMS -- Tie for Entering Basic Variable -- Input -- Optional Handout
NA GAMS -- Tie for Entering Basic Variable -- Output -- Optional Handout
NA LINDO -- Tie for Leaving Basic Variable -- Optional Handout
NA GAMS -- Tie for Leaving Basic Variable -- Input -- Optional Handout
NA GAMS -- Tie for Leaving Basic Variable -- Output -- Optional Handout
NA LINDO -- Tie for Both Entering and Leaving Basic Variable -- Optional Handout
NA GAMS -- Tie for Both Entering and Leaving Basic Variable -- Input -- Optional Handout
NA GAMS -- Tie for Both Entering and Leaving Basic Variable -- Output -- Optional Handout
NA Unbounded solution example in LINDO
NA Unbounded solution example in GAMS
6 Multiple Optimal Solutions 
6A Multiple Optimal Solutions with LINDO
6B Multiple Optimal Solutions with GAMS -- Listing File
7 Equality Constraints 
NA Equality Constraint example solved with LINDO
NA Equality Constraint example solved with GAMS
8 Minimization with Equality and Greater than or Equal to Constraints 
8A Minimization example solved with LINDO
8B Minimization example solved with GAMS
9 No Feasible Solution 
NA No Feasible Solution with LINDO
NA No Feasible Solution with GAMS
10 A GAMS Primer / GAMS Usage Notes
NA SOLVER -- A Primer
NA Bb Readings -- GAMS Manuals software and other download files 

-- Password Protected -- this link will take you to Blackboard

11
MOTAD Example
NA

GMS

GAMS MOTAD file -- for downloading as a MOTAD template
NA
GAMS MOTAD Listing file
NA
GAMS "MOTAD" example without risk -- listing file
NA
GAMS "MOTAD" example without risk or rotation -- listing file
NA
GAMS "MOTAD" example without rotation -- listing file
12 Target MOTAD Example 
NA GMS GAMS Target MOTAD file -- for downloading as a Target MOTAD template
NA GAMS Target MOTAD listing file
13 Notes on Detrending Methods USED in Risk Analysis 
14 Chance-constrained Programming: A Simple Way to Incorporate Risk in a Linear Programming Model 
15 A Stochastic Programming Analysis of the Farm Level Implications of Soil Erosion Control 
16 A Chance-constrained Programming Analysis of Soil Conservation: An Examination of the Normality Assumption 
17 Basic Data for a Sample Transportation Problem Objective: Minimize Transportation Cost 
NA GMS Sample Transportation Problem GAMS Template for downloading
NA Sample Transportation Problem GAMS listing file
18 LINDO Sensitivity Analysis 
19 Sensitivity Analysis 
20 Sensitivity Analysis and Parametric Changes 
21 Adding a New Row 
22 Summary of Investigating the Effects of Changes in the Model Parameters on the Optimal Solution 
23 Answer Key: Hillier and Liebermann Chapter 6 -- Only Available online with the password 
24 Karush Kuhn Tucker Conditions in Matrix Notation 
25 Primal and Dual Problems Solved with LINDO 
26 Primal/Dual
27 Primal Dual Table 
28 Comparison of Primal and Dual Karush Kuhn Tucker Conditions 
29 Complimentary Slackness Conditions 
30 Complimentary Basic Solutions for the Southern Krates Problem 
31 Southern Krate's Fertilizer Problem 
32 Primal Solution to the Southern Krates Problem 
33 Modified Southern Krates Problem to Create a Non-integer Solution 
34 LINDO Integer Solution to Modified Southern Krates Problem 
34A A Simple Quadratic Objective Function to Illustrate Non-Linear Programming in GAMS
34B GAMS Non Linear Programming Example 2
NA GMS GAMS Template for downloading Integer Programming Model for  Modified Southern Krates Problem 
NA GAMS Listing file for the Integer Programming Model of the Modified Southern Krates Problem 
34A GMS First in Class Non-Linear Programming Example -- GAMS Template for downloading
NA First in Class Non-Linear Programming Example -- GAMS listing file
34B GMS Second in Class Non-Linear Programming Example -- GAMS Template for downloading
NA Second in Class Non-Linear Programming Example -- GAMS listing file
35 Minimizing Variance Quadratic Risk Programming
NA GMS GAMS minimizing variance file -- for downloading as a template
NA GAMS minimizing variance listing file 
36 Classic Quadratic Risk Programming
NA GMS GAMS Classic Quadratic Risk Programming file -- for downloading as a template
NA GAMS Classic Quadratic Risk Programming listing file
37 Hazel and Norton Maximin Example
38 Hazel and Norton Minimax Example

 

PART II - Homework

[Index]
No. Formats Title
1 Homework #1 
2 Homework #2 
3 Homework #3 
4 Homework #4 
5 Homework #5 
6 Homework #6 

 

PART III: Copies of Previous Exams -- see the answer keys below for more recent exams

[Index]
Formats Year
1992 
1993 
1994 
1995 
1996 

 

PART IV - Syllabus and Other Course Information

[Index]
Formats
 Syllabus
Course Outline
Reading List -- not links to readings -- see NA between handouts 10 and 11
Term Project
Oral Presentation Evaluation
Writing Tips
Grammar and Presentation Style
Cornell GAMS Reference
Matrix Algebra Review 
Student Background Information Sheet
Virginia Farm Management Extension Agents

PART V - Answer Keys for Old Exams

[Index]
Formats Year

2007 Final Exam

2007 Midterm Answer Key

2006 Final Answer Key

2006 Midterm Answer Key

2005 Midterm Answer Key

?

2004 Final Answer Key -- Currently missing due to change in secretaries and/or water damage in old office

2004 Midterm Answer Key

2003 Final Answer Key

2003 Midterm Answer Key

2002 Midterm Answer Key

2001 Final Answer Key

2001 Midterm Answer Key
2000 Final Answer Key
2000 Midterm Answer Key
1999 Final Answer Key
1999 Midterm Answer Key
1998 Final Answer Key

1998 Midterm Answer Key

1997 Final Answer Key
1997 Midterm Answer Key
1996 Answer Keys to Exams 
1996 Answer Keys to Exams 
1995 Answer Keys to Exams 
1994 Answer Keys to Exams 
1993 Answer Keys to Exams 
1992 Answer Keys to Exams 

 
 


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Last update: August 21, 2008
 
 
 


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