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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