Find the values of x1 and x2 that maximize z=2x1+5x2
Subject to:
2x1+ x2 >= 8
-4x1+ 2 <= 2
2x1- 3x2 <= 0
x1 >= 0
x2 >= 0

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I'm assuming by x1 and x2 you really mean x^1 and x^2?

Wouldn't x1 and x2 be different variables, as in x and y? And in that case isn't this just simple simultaneous equations?

Although if you did actually mean it as in quadratic equations, then just put them into a format like x^2+2x-8>=0 and solve from there. Shouldn't need 3 different equations for any of these though which is why i'm not 100% sure.

He clearly stated that these are variables

The weak can never forgive. Forgiveness is the attribute of the strong.-Gandhi

No I mean them as diffrent variables.
Gosh lern2mat ppl

Drop Out of Highschool [x]
Get a GED [x]
Drop Out of Community College [x]
Get a full University Scholarship to a respectable University[x]
Graduate [ ]
Get a job that I am wayyy under qualified for [x]
Get that one girl [ ]
Marry that one girl [ ]
??? [x]
Make miniature Silvers [ ]

I'm just guessing but is z=40?
X1=0 and x2=8?

The weak can never forgive. Forgiveness is the attribute of the strong.-Gandhi

Incorrect.
Here's a hint, replace x1 and x2 with x and y.
Then graph all the equations.

Drop Out of Highschool [x]
Get a GED [x]
Drop Out of Community College [x]
Get a full University Scholarship to a respectable University[x]
Graduate [ ]
Get a job that I am wayyy under qualified for [x]
Get that one girl [ ]
Marry that one girl [ ]
??? [x]
Make miniature Silvers [ ]

MAN I DIDNT WANNA DO THE GRAPH SHIT THATS WHY TRIED TO DO IT MENTALLY
I feel like my laziness is gonna be the downfall of me xD

The weak can never forgive. Forgiveness is the attribute of the strong.-Gandhi

i got x1=3 and x2=2 found using simplex method

edit; didn't read the problem correctly. this answer is wrong.

btw, there's a subscript bb code tag to use so you get x₁ and x₂



Anyways, is there even a solution? There's no bound for z. We can find a minimum, but the graphs go on forever otherwise?
Can't really find a maximum for z=2x+5y when z has no bounds, and what's graphed doesn't have a closed space and goes on forever in the +x and +y quadrant.