Merge pull request #554 from Quantum-Software-Development/main

up

Author: FabianaCampanari

README.md

@@ -1348,6 +1348,17 @@ The initial solution obtained via the Northwest Corner Method has a total cost o
 
 
   - Negative reduced costs indicate non-optimality.
+ 
+
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+### Step 1: Optimality Check Using Multipliers
+- **Multipliers calculation**:
+  - Set $$ u_1 = 0 $$, leading to $$ v_1 = 12 $$, $$ u_2 = 6 $$, $$ v_2 = 18 $$, $$ u_3 = -3 $$, and $$ v_3 = 37 $$.
+  - **Reduced costs** for non-basic variables:
+    - $$ \bar{c}_{12} = -4 $$, $$ \bar{c}_{13} = 7 $$, $$ \bar{c}_{23} = 11 $$, $$ \bar{c}_{31} = -13 $$.
+  - Negative reduced costs indicate non-optimality.
+