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Jul 17, 2025
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Update README.md #945

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16 changes: 11 additions & 5 deletions README.md
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Original file line number Diff line number Diff line change
Expand Up @@ -1102,6 +1102,8 @@ x_1 \geq 0, \quad x_2 \geq 0

### - [**Objective:**]():

<br>

$Z = 4x_1 + 3x_2$

<br>
Expand All @@ -1112,7 +1114,9 @@ Z = 4x_1 + 3x_2

<br>

### ➢ [**Subject to:**]():
### - [**Subject to:**]():

<br>

$$
\begin{cases}
Expand All @@ -1124,6 +1128,8 @@ x_1 \geq 0, \quad x_2 \geq 0
\end{cases}
$$

<br>

```latex
\begin{cases}
x_1 + 3x_2 \leq 7 \\
Expand All @@ -1142,7 +1148,7 @@ Convert inequalities into equalities to draw the lines:

<br>

### [1](). $x_1 + 3x_2 = 7$
### [1](): $x_1 + 3x_2 = 7$
- If $x_1 = 0 \Rightarrow x_2 = \frac{7}{3} \approx 2.33$
- If $x_2 = 0 \Rightarrow x_1 = 7$

Expand All @@ -1156,7 +1162,7 @@ x_1 + 3x_2 = 7$

<br>

### [2](). $2x_1 + 2x_2 = 8$
### [2](): $2x_1 + 2x_2 = 8$
- If $x_1 = 0 \Rightarrow x_2 = 4$
- If $x_2 = 0 \Rightarrow x_1 = 4$

Expand All @@ -1170,7 +1176,7 @@ x_1 + 2x_2 = 8

<br>

### [3](). $x_1 + x_2 = 3$
### [3](): $x_1 + x_2 = 3$
- If $x_1 = 0 \Rightarrow x_2 = 3$
- If $x_2 = 0 \Rightarrow x_1 = 3$

Expand All @@ -1184,7 +1190,7 @@ x_1 + x_2 = 3

<br>

### [4](). $x_2 = 2$ → horizontal line
### [4](): $x_2 = 2$ → horizontal line

<br>

Expand Down