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Aug 3, 2025
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Update README.md #953

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18 changes: 11 additions & 7 deletions README.md
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Expand Up @@ -2027,9 +2027,7 @@ v_1 &= 12, \quad v_2 = 18, \quad v_3 = 24 \\

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---\\\ UNDER CONTR🚛🚛🚛

### **3.2 Compute Reduced Costs Again**
#### [3.2](). Compute Reduced Costs Again

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Expand All @@ -2042,20 +2040,26 @@ v_1 &= 12, \quad v_2 = 18, \quad v_3 = 24 \\

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#### [**Conclusion**](): Negative reduced costs ($x_{12}$, $x_{13}$, $x_{23}$) mean the solution is **still not optimal**. Further iterations are required.
### [**Conclusion**](): Negative reduced costs ($x_{12}$, $x_{13}$, $x_{23}$) mean the solution is **still not optimal**. Further iterations are required.

<br>

## Final Iteration (Optimal Solution)
## [Step 4](): Final Iteration (Optimal Solution)

#### [4.1](). Select Entering Variable

### [4.1](). Select Entering Variable**
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Most negative reduced cost: $\bar{c}_{13} = -6$.

**Entering variable:** $x_{13}$.
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Entering variable:** $x_{13}$.

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🏄🏄🏄🏄

#### [4.2](). Construct the Closed Loop

- **Loop Path**: $ x_{13} \rightarrow x_{33} \rightarrow x_{31} \rightarrow x_{11} \rightarrow x_{13} $.
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