172A-1

# 172A-1 - Economics 172A 172A Introduction to Operation...

This preview shows pages 1–4. Sign up to view the full content.

Economics 172A Introduction to Operation Research (Part A) 1. Introduction inter 2010 Winter 2010 Herb Newhouse 1 eadings Readings • Hillier & Lieberman (9 th edition) – Ch. 1: Intro. 1.1 – 1.3. (We will not use H&L’s OR Courseware.) – Ch. 2: Overview of the Operations Research Modeling Approach – 2.1: Defining the Problem and Gathering Data. 2F lt i Mth t i lMdl – 2.2: Formulating a Mathematical Model. – 2.3: Deriving Solutions from the Model. – (The rest of chapter 2 is important in practice but will not be overed on exams.) covered on exams.) – Ch. 3: Introduction to Linear Programming – 3.1: Prototype Example. – 3.2: The Linear Programming Model. – 3.3: Assumptions of Linear Programming. – 3.4: Additional Examples. – 3.5: Formulating the Model on a Spreadsheet. 2 utline Outline eview Review – Linear equations. evel curves – Level curves. – 100A style constrained optimization. • Introduction to linear programming. – Formulating decision problems. – Examples. 3 eview Review 4

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Linear Functions, Equations and Inequalities • A linear function is a function of degree one and can be represented by a straight line when it comprises just two ariables variables. • A linear equation (inequality) is a linear function set equal (unequal) to a constant. • Examples: 2 3 5 : linear function xyz ++ 23 5 : non-linear function 2 3 5 89 : linear equation 3 5 89 : linear inequality x xy z ++= +≤ 2358 9 : linear inequality x yz ++≤ 5 raphing Linear Equations Graphing Linear Equations A linear equation involving two variables corresponds to qg p a straight line in a two dimensional plane. • Two methods for graphing – Slope-intercept ax by c += , where is the slope and is the intercept. ac a c yx b b b =− + – Intercept form bb b c c 1, where is the intercept and the . ab xy x y cc a b 6 22 0 HL (, 0 ) L H 7 0 , 4 7 6 0 H L + ≤+ 43 2 , ( , 0 ) H L L 8 H
evel Curves Level Curves •O bjective function is not an equation.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

## This note was uploaded on 06/08/2010 for the course ECON 171 taught by Professor Newhouse during the Spring '07 term at UCSD.

### Page1 / 8

172A-1 - Economics 172A 172A Introduction to Operation...

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online