×

### Let's log you in.

or

Don't have a StudySoup account? Create one here!

×

or

## OPTIMIZATION

by: Kaylin Wehner

87

0

2

# OPTIMIZATION MATH 0164

Kaylin Wehner
UCLA
GPA 3.55

Staff

These notes were just uploaded, and will be ready to view shortly.

Either way, we'll remind you when they're ready :)

Get a free preview of these Notes, just enter your email below.

×
Unlock Preview

COURSE
PROF.
Staff
TYPE
Class Notes
PAGES
2
WORDS
KARMA
25 ?

## Popular in Mathematics (M)

This 2 page Class Notes was uploaded by Kaylin Wehner on Friday September 4, 2015. The Class Notes belongs to MATH 0164 at University of California - Los Angeles taught by Staff in Fall. Since its upload, it has received 87 views. For similar materials see /class/177812/math-0164-university-of-california-los-angeles in Mathematics (M) at University of California - Los Angeles.

×

## Reviews for OPTIMIZATION

×

×

### What is Karma?

#### You can buy or earn more Karma at anytime and redeem it for class notes, study guides, flashcards, and more!

Date Created: 09/04/15
Determine the optimal basic feasible solution of the linear program minimize 2 311 7 212 7 413 subject to 411 512 7 213 S 22 11 7 212 13 S 30 1112133132 S 0 Standard form of the problem H to CA3 5 533 minimize 2 subject to 411 512 7 213 31 311 7 212 7 413 22 30 11712713781782 S 0 112I21382 i Let 1 8182 1N 1112 13 we have a basic feasible solution 1 0002230Tl Check if 1 is optimal since 2 311 7 212 7 413 decreases if either 12 or 13 is increased from 0 Increase 13 from 0 and x 11 12 0 using 227411751221322213 3071121271330713 1 2 81 82 we observe that 13 can be increased until 13 30 When 13 30 32 0 thus we have 13 1331 1N 111282 and the basic feasible solution 1 0 0 30 82 0Tl Check if 1 is optimal Rewrite the 2nd constraints 2 in terms of 1N 11712 82 then we ave 31 227411 51223011212782 82761171272423 30711212782 4 and moreover 2 311 7 212 7 413 311 7 212 7 430 7 11 212 7 32 7120 711 71012 432 in terms of 1N 111282 Since this new objective function 2 decreases if 12 is increased from 0 Thus 1 is not optimal 3 Increase 12 from 0 and x 11 32 0 from the constraints 3 and 4 we have 31 82 7 12 and 13 30 212 Thus 12 can be increased until 12 82 When 12 82 31 0 thus we have 13 1312 1N 113132 and the basic feasible solution 1 0 82 30 2 96 82 0 0Tl Math 164 Handout Used for 521 General Formulae for the Simplex Method Andrea Brose May 19 2005 Consider the linear programming problem in standard form T minimize z c z subject to Ax b z 2 O with b 2 O 1 REORDERING Write l then T 2 c x 7 T T 3 7 CB 0N LN chB cExN 1 We then can rewrite problem as follows minimize z chB cExN 2 subject to En NzN b 3 20 B is basis matrix7 hence non singular7 ie B l exists 1see section 43 for notation

×

×

### BOOM! Enjoy Your Free Notes!

×

Looks like you've already subscribed to StudySoup, you won't need to purchase another subscription to get this material. To access this material simply click 'View Full Document'

## Why people love StudySoup

Jim McGreen Ohio University

#### "Knowing I can count on the Elite Notetaker in my class allows me to focus on what the professor is saying instead of just scribbling notes the whole time and falling behind."

Janice Dongeun University of Washington

#### "I used the money I made selling my notes & study guides to pay for spring break in Olympia, Washington...which was Sweet!"

Bentley McCaw University of Florida

#### "I was shooting for a perfect 4.0 GPA this semester. Having StudySoup as a study aid was critical to helping me achieve my goal...and I nailed it!"

Parker Thompson 500 Startups

#### "It's a great way for students to improve their educational experience and it seemed like a product that everybody wants, so all the people participating are winning."

Become an Elite Notetaker and start selling your notes online!
×

### Refund Policy

#### STUDYSOUP CANCELLATION POLICY

All subscriptions to StudySoup are paid in full at the time of subscribing. To change your credit card information or to cancel your subscription, go to "Edit Settings". All credit card information will be available there. If you should decide to cancel your subscription, it will continue to be valid until the next payment period, as all payments for the current period were made in advance. For special circumstances, please email support@studysoup.com

#### STUDYSOUP REFUND POLICY

StudySoup has more than 1 million course-specific study resources to help students study smarter. If you’re having trouble finding what you’re looking for, our customer support team can help you find what you need! Feel free to contact them here: support@studysoup.com

Recurring Subscriptions: If you have canceled your recurring subscription on the day of renewal and have not downloaded any documents, you may request a refund by submitting an email to support@studysoup.com