Linear Programming model

CriticalPeanuts

New member
Joined
May 6, 2024
Messages
1
Hi,
I'm trying to create an LP model based on the below question. My current answer is below.

Question.PNG


Current Answer
A = x, B = y
Minimize Z= 5x+15y

Constraints
6x+4y≥5
4x+8y≥5
2x+7y≤6
x+y≥150
x≥0
y≥0


I'm not sure if I've done my constraints wrong or am interpreting the graph incorrectly.
My understanding is the customer requires at least 150L so the feasible and optimal region would be on the right of the purple line, but the Lime content can only be 6 so it needs to be to the left of the green line? so I've made a mistake somewhere.
Any clarification would be greatly appreciated.

Graph.PNG
 
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