The document outlines the agenda for today's class, which includes turning in a take home quiz, discussing questions from Friday, and covering sections 7.3. It also lists the exam schedule. The rest of the document provides instructions on applying linear programming, including assigning variables, writing constraints as inequalities, finding the objective function, and optimizing over the feasible region. Examples are given to translate a word problem into the constraints and objective function of a linear programming problem.

1. Today’s Agenda
 Attendance / Announcements
 Turn in Take Home Quiz
 Questions from Friday
 No MyMathLabs HW this week
 Sections 7.3

2. Exam Schedule
 Exam 5 (Ch 6.1, 7)
Wed 4/1
 Exam 6 (Ch 10)
Monday 4/27
 Final Exam (Cumulative)
Monday 5/4

3. 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

4. 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)

5. Linear Programming
The Constraints are the
inequalities that provide us with
the Feasible Region.

6. Applications of Linear
Programming
The only thing we need to do
today is to translate the word
problem into the constraints
and objective function.

8. ypigslet
xgoatslet



9. 16 yx
Constraints:

10. 16 yx
Constraints:
10x

11. 16 yx
Constraints:
10x
9007525  yx
25
9007525  yx
363  yx

12. 16 yx
Constraints:
10x
363  yx
0
0


y
x
Are there other
“natural” or
assumed
constraints?

13. 16 yx
Constraints:
10x
363  yx
0
0


y
x
Objective:
yxyxP 4014),( 

15. Need to identify all
corner points

17. Cost less than $560
Floor space less than 72 feet
And can’t have negative cabinets
5608040  yx
7286  yx
0,0  yx

18. We want the greatest storage capacity
yxyxS 128),( 

22. Constraints:
Protein:
Fat:
Other:
Objective:
Cost:

25. Classwork / Homework
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