Skip to content
Merged
Changes from all commits
Commits
File filter

Filter by extension

Filter by extension

Conversations
Failed to load comments.
Loading
Jump to
Jump to file
Failed to load files.
Loading
Diff view
Diff view
26 changes: 17 additions & 9 deletions README.md
Original file line number Diff line number Diff line change
Expand Up @@ -333,7 +333,9 @@ The **graphical method** for solving simple linear programming (LP) problems inv

### [Key]() Concepts:

**[Decision Variables]():** These are the variables that we want to determine the values of to optimize the ***[OBJECTIVE FUNCTION]()*** (e.g.):
<br><br>

- **[Decision Variables]():** These are the variables that we want to determine the values of to optimize the ***[OBJECTIVE FUNCTION]()*** (e.g.):

<br>

Expand Down Expand Up @@ -363,29 +365,34 @@ $\(x_1\)$ and $\(x_2\)$

- **[Constraints]():** These are linear inequalities or equalities that restrict the values the decision variables can take.

<br>

- [Equality constraint]():
<br><br>

- **[Equality constraint]():**

<br>

$$a_{i1}x_1 + a_{i2}x_2$$ = $$b_i$$
$a_{i1}x_1 + a_{i2}x_2$ = $b_i$

<br>

```latex
a_{i1}x_1 + a_{i2}x_2 = b_i
```

<br>
<br><br>


- [Less than or equal to constraint]():
- **[Less than or equal to constraint]():**

$$a_{i1}x_1$$ + $$a_{i2}x_2 \leq b_i$$
$a_{i1}x_1$$ + $a_{i2}x_2 \leq b_i$$

```latex
a_{i1}x_1 + a_{i2}x_2 \leq b_i
```
<br>

<br><br>


- [Greater than or equal to constraint]():

Expand Down Expand Up @@ -437,7 +444,8 @@ $\(x_1\)$ and $\(x_2\)$
5. **[Determine the Optimal Solution]():**

* For a **maximization** problem, the vertex that yields the **largest** value of the objective function is the optimal solution [1, 6].
* For a **minimization** problem, the vertex that yields the **smallest** value of the objective function is the optimal solution [2, 7].

* For a **minimization** problem, the vertex that yields the **smallest** value of the objective function is the optimal solution [2, 7].


<br><br>
Expand Down