A23­4Part2Notes.notebook
September 08, 2015
Algebra 2
Ch.3 Notes Page 15
P15 3­4 Linear Programming (Part 2)
Aug 19­6:20 AM
Jan 21­4:06 PM
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A23­4Part2Notes.notebook
September 08, 2015
Example:
A furniture maker can make from 30 to 60 tables a day
and from 40 to 100 chairs a day.
It can make up to 120 units a day.
The profit on a table is $150.
The profit on a chair is $65.
How many tables and chairs should be made
per day to Maximize profit? Find the profit.
Let X = Tables and Y = Chairs
Jan 21­4:06 PM
Find Inequalities:
T = Tables
C = Chairs
30 < T < 60
40 < C < 100
T + C < 120
Jan 21­4:06 PM
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A23­4Part2Notes.notebook
September 08, 2015
Objective Function (Max.)
Profit = 150T + 65C
Check all Verticies
(30, 40) = 7,100
(60, 40) = 11,600
(60, 60) = 12,900
(30, 90) = 10,350
How many tables and chairs should be made
per day to Maximize profit? Find the profit.
Jan 21­4:08 PM
Example:
A leather craftsman is making leather belts
and wallets to sell at a craft fair.
He can take no more than 20 items to the fair. Each belt takes 8 hours to make and makes $45 profit. Each wallet takes 2 hours to make and makes $15 profit. He has up to 70 hours to spend working on the leather items. He assumes he will sell all the items he makes and wants to make as much money as possible.
Let X = Belts and Y = Wallets
Feb 2­6:37 AM
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A23­4Part2Notes.notebook
September 08, 2015
Find Inequalities:
B = Belts
W = Wallets
Feb 2­6:42 AM
Objective Function (Max.)
Profit = How many belts and wallets should be made
per day to Maximize profit? Find the profit.
Feb 2­6:43 AM
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A23­4Part2Notes.notebook
September 08, 2015
Jan 26­2:54 PM
8Tapes, 4CDs
$112
Jan 26­2:54 PM
5
A23­4Part2Notes.notebook
September 08, 2015
HW #15
3­4 P142 #11,16,18,20,24,25
Please put your name and class period at the top of the homework. Also include the homework number.
Aug 19­6:25 AM
Sep 11­2:46 PM
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