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Linear Programming Summative Assessment

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by

Carter Stromberg

on 3 November 2015

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Transcript of Linear Programming Summative Assessment

Real Life Situations
My Variables And Constraints
Graph The Constraints
My Points And Objective Function
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x=Blue Buffalo Brand
y=Dog Chow
Answer
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Problem
One of my dogs needs to have at least 300 calories, 36 units of vitamin A, and 90 units of vitamin C daily. A cup of Blue Buffalo provides 60 calories, 12 units of vitamin A, and 10 units of vitamin C. A cup of Dog Chow provides 60 calories, 6 units of vitamin A, and 30 units of vitamin C. Blue Buffalo costs $0.18 per cup and Dog Chow costs $0.14 per cup. How many cups of each type of food should he consume each day to minimize the cost and still meet the stated daily requirements?
What Is Linear Programming?
Linear programming is a method to achieve the best outcome (such as maximum profit or lowest cost) in a mathematical model whose requirements are represented by linear relationships.
The End
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Here is a picture of Donald Trump for your convenience.

Brooklyn Park Pet Hospital
1 Blue Buffalo
4 Dog Chow
$0.74 Cost

Linear Programming
Constraint #1
60x+60y≥300

Constraint #2
12x+6y≥36

Constraint #3
10x+30y≥90
Linear Programming can help businesses maximize profit and minimize spending, while finding the "best" value obtainable under those conditions.
Calories
Vitamin A
Vitamin D
Feasible Region
0
6
x
y
1
4
3
2
9
0
Objective Function:
0.18+0.14=Cost
0+0.84=$0.84
0.18+0.56=$0.74
0.54+0.28=$0.82
1.62+0.14=$1.76
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