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17 changes: 10 additions & 7 deletions README.md
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Expand Up @@ -52,7 +52,7 @@ The [key difference]() between sim-opt and other analytical tools is its [abilit

<br><br>

# I- Example of a [Optimization Problem]()
## I- Example of a [Optimization Problem]()

#### [Click here](https://github.com/Quantum-Software-Development/Optimization-Simulation-Modeling-LinearProgramming/blob/8e3cf8ba6bdc2ce92a011ff5169a3ec704a9d6f0/class_1-Optimization-Simulation-Modelin/1-Optimization%20and%20Simulation.pdf) to access Theoretical and Pratical Material.

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The simplex algorithm is used to solve linear problems. Although there isn't a specific command for it, we can describe it in text or use tables to show the steps of the algorithm.

<br>

### [Matrix]()

A matrix can be created using the `amsmath` package:
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<br>

### Solution Steps
### [Solution Steps()

1. Express the cherry chocolate constraint:

$$\frac{x_1}{2} + \frac{x_2}{3} \leq 130$$
$$\frac{x_1}{2} + \frac{x_2}{3} \leq 130$$

```latex
\frac{x_1}{2} + \frac{x_2}{3} \leq 130
```

```latex
\frac{x_1}{2} + \frac{x_2}{3} \leq 130
```

<br>

3. Express the mint chocolate constraint:
2. Express the mint chocolate constraint:

$$\frac{x_1}{2} + \frac{2x_2}{3} \leq 170$$

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