diff --git a/README.md b/README.md index 7ec1daa..44121f7 100644 --- a/README.md +++ b/README.md @@ -1006,7 +1006,7 @@ constraints. ### [Example: Unbalanced Transportation Problem](): -### ➠ Initial Unbalanced Model: +### ➠ [Initial Unbalanced Model]():
@@ -1047,8 +1047,7 @@ O3 & 6 & 12 & 10 & 10 \\ # -### ➠ Adjusted Balanced Model (Dummy Origin A Added): - +### ➠ [Adjusted Balanced Model (Dummy Origin A Added)]():
@@ -1087,6 +1086,53 @@ A & 0 & 0 & 0 & 6 \\ ### ➢ Now the model is **balanced**: [66 = 66]() +
+ +# + +### ➠ [Feasible Solution Example](): + +
+ +$$ +\ +\begin{array}{c|ccc|c} + & D1 & D2 & D3 & \text{Supply} \\ +\hline +O1 & 0 & 20 & 0 & 20 \\ +O2 & 5 & 25 & 0 & 30 \\ +O3 & 0 & 10 & 0 & 10 \\ +A & 20 & 1 & 5 & 6 \\ +\hline +\text{Demand} & 25 & 36 & 5 & 66 \\ +\end{array} +\ +$$ + +
+ +```latex +\[ +\begin{array}{c|ccc|c} + & D1 & D2 & D3 & \text{Supply} \\ +\hline +O1 & 0 & 20 & 0 & 20 \\ +O2 & 5 & 25 & 0 & 30 \\ +O3 & 0 & 10 & 0 & 10 \\ +A & 20 & 1 & 5 & 6 \\ +\hline +\text{Demand} & 25 & 36 & 5 & 66 \\ +\end{array} +\] +``` + +🟡 The values in the matrix represent the **quantities transported**. +🟠 $begin:math:text$ X_{A2} = 1 $end:math:text$, $begin:math:text$ X_{A3} = 5 $end:math:text$: These are **unsatisfied demands**. + +
+ +# +