L01f05

L01f05 - Chapter 1: An Introduction 1 Beginning With an...

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

View Full Document Right Arrow Icon
Chapter 1: An Introduction 1 Chek Beng Chua Beginning With an Example The Orange Factory Problem Factory produces two products: Frozen concentrate and Orange juice . Each unit of requires and produces Frozen concentrate 2 units electricity $2 pro±t 1 unit orange 1 unit water Orange juice 1 unit electricity $3 pro±t 1 unit orange 1 unit water How much frozen concentrate and orange juice should we produce to maximize pro±t? Daily available resources: 10 units electricity; 6 units oranges; 4 units water.
Background image of page 1

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

View Full DocumentRight Arrow Icon
Chapter 1: An Introduction 2 Chek Beng Chua Decision variables x 1 x 2 denote daily production of frozen concentrate orange juice In summary, Frozen concentrate Orange juice Resource limit Decision variable x 1 x 2 Pro±t 2 3 Electricity 2 1 10 Oranges 1 1 6 Water - 1 1 4 Mathematical model (Eq (1.1) on Pg 8) maximize 2 x 1 + 3 x 2 subject to 2 x 1 + x 2 10 x 1 + x 2 6 - x 1 + x 2 4 x 1 , x 2 0 x 1 and x 2 need not be integers.
Background image of page 2
Chapter 1: An Introduction 3 Chek Beng Chua
Background image of page 3

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

View Full DocumentRight Arrow Icon
Image of page 4
This is the end of the preview. Sign up to access the rest of the document.

Page1 / 6

L01f05 - Chapter 1: An Introduction 1 Beginning With an...

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

View Full Document Right Arrow Icon
Ask a homework question - tutors are online