@@ -1337,35 +1337,23 @@ The initial solution obtained via the Northwest Corner Method has a total cost o
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13381338### Step 1: [ Optimality Check Using Multipliers] (0
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1340- - ** Multipliers calculation** :
1341- - Set $u_1 = 0$, leading to $v_1 = 12$, $u_2 = 6$, $v_2 = 18$, $u_3 = -3$, and $v_3 = 37$.
1340+ ### - ** Multipliers calculation** :
1341+
1342+ ### - Set $u_1 = 0$, leading to $v_1 = 12$, $u_2 = 6$, $v_2 = 18$, $u_3 = -3$, and $v_3 = 37$.
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1344+ <br >
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1346+ ### - ** Reduced costs** for non-basic variables:
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1345- - ** Reduced costs** for non-basic variables:
1346- - $\bar{c}_ {12}$ = -4\$ , $ \bar{c}_ {13}\$ = $7$, $\bar{c}_ {23} = 11$, $\bar{c}_ {31} = -13$.
1347-
1348- - Valores dos coeficientes:
1349-
1350- - $\bar{c}_ {12} = -4$
1351- - $\bar{c}_ {13} = 7$
1352- - $\bar{c}_ {23} = 11$
1353- - $\bar{c}_ {31} = -13$
1348+ ### - $\bar{c}_ {12} = -4$
1349+ ### - $\bar{c}_ {13} = 7$
1350+ ### - $\bar{c}_ {23} = 11$
1351+ ### - $\bar{c}_ {31} = -13$
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1356-
1357- - Negative reduced costs indicate non-optimality.
1354+ - Negative reduced costs indicate non-optimality.
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1360- ------22223222------0
1361-
1362- ### Step 1: Optimality Check Using Multipliers
1363- - ** Multipliers calculation** :
1364- - Set $$ u_1 = 0 $$ , leading to $$ v_1 = 12 $$ , $$ u_2 = 6 $$ , $$ v_2 = 18 $$ , $$ u_3 = -3 $$ , and $$ v_3 = 37 $$ .
1365- - ** Reduced costs** for non-basic variables:
1366- - $\bar{c}_ {12} = -4$, $ \bar{c}_ {13} = 7$, $$ \bar{c}_{23} = 11 $$ , $$ \bar{c}_{31} = -13 $$ .
1367- - Negative reduced costs indicate non-optimality.
1368-
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