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Linear Programming Project - Algebra 2
Student Name Lydia Parker
Student Partner Name (if project is done collaboratively)
Project Option - #1
Name of Company - LP Designs
Type of Business - Specialty Dress and Accessories Manufacturer
Two Products Made - Petticoats, Handkerchiefs
Assigned Variables - Petticoats, (x)(product #1) and Handkerchiefs, (y)(product #2)
Number of Each Product Produced - LP Designs my make at least 15 petticoats per a day and 25 handkerchiefs per a day.
Profit Earned with Each Product - Petticoats, $8 Handkerchiefs, $4
Total Profit Earned – My company cannot exceed $300 per a day
Note: Areas highlighted in blue should be replaced with information unique to your project/company.


Product Information System of Inequalitys
# of product #1 per day Must make at least 15/ day x ≥ 15
# of product #2 per day Must make at least 25/ day y ≥ 25
Profit per product #1 Petticoats cost $8
Profit per product #2 Handkerchiefs cost $4
Total profit earned $8x + $4y ≤ $300
Graph of the System of Inequalities

Points of Intersection Inequality
Point #1 (15, 45) $8(15) + $4(45)= $300
Point #2 (25, 25) $8(25) + $4(25)=$300
Point #3 (15, 25) $8(15) + $4(25)=$220
If 15 of product #1 and 45 of product #2 are made, LP Designs will earn $300 that day.
If 25 of product #1 and 25 of product #2 are made, LP Designs will earn $300 that day.
If 15 of product #1 and 25 of product #2 are made, LP Designs will earn $220 that day.
Maximized Profit Combination
15 of product #1 and 45 of product #2 or 25 or product #1 and 25 of product #2 should be made for LP Designs to earn the most amount of money each day.