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**Simplex Method --- Programming Problem**

## Homework Statement

*Here's the question -*

Conside the linear programming problem:

maximise P = -3x + y,

subject to 3x + 2y =< 24,

4x + 9y =< 36,

-2x + y =< 1,

and x >= 0, y >= 0.

Represent the problem as an initial Simplex tableau and use the Simplex algorithm to solve the problem. Interpret your final tableau.

## Homework Equations

## The Attempt at a Solution

My problem is I'm usure how to tackle this with 3 subjects (ignoring the one with X and Y must be greater or equal to 0). I have completed questions in class with 2 subjects but my teacher nor my text book mention anything about 3 of them.

I attempted it a couple of times with just putting it in a follow the steps as I would with 2 subjects but it doesn't seem to work perfectly. Is this the correct way?

I would post my attempts but it'll get a bit complicated over the computer.

Thank you in advance :)