# Solving Linear Programming

#### Monkey

##### New member
Hey, I'm having problem with some questions. Any help would be nice

Q1. Solve using graphical method

Maximize z = 100x + 150y
Subject to x + 3y <= 120
35x + 10y <= 780
x <= 20
x >= 0
y >= 0

And Q2 is solving using Simplex Method...now I don't get this one at all. :L

Maximize z = 80x1 + 70x2
Subject to 6x1 + 3x2 <= 96
x1 + x2 <= 18
2x1 + 6x2 <= 72
x1 >= 0
x2 >= 0

Btw the number (after x and y) the below x and y...I don't know what you call it...

Thanks. Any help will be highly appreciated.

#### Subhotosh Khan

##### Super Moderator
Staff member
Hey, I'm having problem with some questions. Any help would be nice

Q1. Solve using graphical method

Maximize z = 100x + 150y
Subject to x + 3y <= 120
35x + 10y <= 780
x <= 20
x >= 0
y >= 0

And Q2 is solving using Simplex Method...now I don't get this one at all. :L

Maximize z = 80x1 + 70x2
Subject to 6x1 + 3x2 <= 96
x1 + x2 <= 18
2x1 + 6x2 <= 72
x1 >= 0
x2 >= 0

Btw the number (after x and y) the below x and y...I don't know what you call it...(subscript)

Thanks. Any help will be highly appreciated.
Q1 asks for a graphical solution.

Did you plot those functions (approximately) on a piece of paper?

After plotting those, test the value of the function z(x,y) at the points of intersection.

If you are still stuck - let us know....

Please share your work with us, indicating exactly where you are stuck - so that we may know where to begin to help you.