lecture 7.3 bt

Today’s Agenda

Attendance / Announcements

Turn in Take Home Quiz

Questions from Friday

No MyMathLabs HW this week

Sections 7.3

Exam Schedule

Exam 5 (Ch 6.1, 7)

Wed 4/1

Exam 6 (Ch 10)

Monday 4/27

Final Exam (Cumulative)

Monday 5/4

Applications of Linear

Programming

• Assign Variables

• Can use a table to organize given information

• Write constraints as a system of inequalities

• Find Objective function

• Optimize over the feasible region

Linear Programming

The Objective Function is

what we need to maximize or

minimize. For us, this will be a

function of 2 variables, f(x, y)

Linear Programming

The Constraints are the

inequalities that provide us with

the Feasible Region.

Applications of Linear

Programming

The only thing we need to do

today is to translate the word

problem into the constraints

and objective function.

ypigslet

xgoatslet

16 yx

Constraints:

16 yx

Constraints:

10x

16 yx

Constraints:

10x

9007525 yx

25

9007525 yx363 yx

16 yx

Constraints:

10x

363 yx

0

0

y

x

Are there other

“natural” or

assumed

constraints?

16 yx

Constraints:

10x

363 yx

0

0

y

x

Objective:

yxyxP 4014),(

Need to identify all

corner points

Cost less than $560

Floor space less than 72 feet

And can’t have negative cabinets

5608040 yx

7286 yx

0,0 yx

We want the greatest storage capacity

yxyxS 128),(

Constraints:

Protein:

Fat:

Other:

Objective:

Cost:

Classwork / Homework

• Page 409

•1 – 11 odd