Lecture 7.3 bt
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Transcript of Lecture 7.3 bt
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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
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Exam Schedule
Exam 5 (Ch 6.1, 7)
Wed 4/1
Exam 6 (Ch 10)
Monday 4/27
Final Exam (Cumulative)
Monday 5/4
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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
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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)
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Linear Programming
The Constraints are the
inequalities that provide us with
the Feasible Region.
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Applications of Linear
Programming
The only thing we need to do
today is to translate the word
problem into the constraints
and objective function.
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ypigslet
xgoatslet
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16 yx
Constraints:
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16 yx
Constraints:
10x
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16 yx
Constraints:
10x
9007525 yx
25
9007525 yx363 yx
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16 yx
Constraints:
10x
363 yx
0
0
y
x
Are there other
“natural” or
assumed
constraints?
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16 yx
Constraints:
10x
363 yx
0
0
y
x
Objective:
yxyxP 4014),(
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Need to identify all
corner points
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Cost less than $560
Floor space less than 72 feet
And can’t have negative cabinets
5608040 yx
7286 yx
0,0 yx
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We want the greatest storage capacity
yxyxS 128),(
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Constraints:
Protein:
Fat:
Other:
Objective:
Cost:
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Classwork / Homework
• Page 409
•1 – 11 odd