Merge pull request #351 from Quantum-Software-Development/FabianaCampanari-patch-1

Update README.md

Author: FabianaCampanari

README.md

@@ -415,7 +415,55 @@ In the context of Linear Programming (LP) and the Simplex Method, Excel Solver c
   <br>
 
 
-## [Solver Configuration (Simplex LP)]():
+## Simplex Method using Excel Solver
+
+This example shows how to solve a Linear Programming (LP) problem using the **Simplex Method** via **Excel Solver**.
+
+---
+
+### Problem
+
+Maximize the objective function:
+
+Z = 3x + 5y
+
+Subject to the constraints:
+
+x + 2y ≤ 100
+2x + y ≤ 80
+x, y ≥ 0
+
+---
+
+### Excel Spreadsheet Setup
+
+Fill the spreadsheet with the following structure:
+
+#### Variables and Objective
+
+| Cell | Description            | Formula / Value      |
+|------|------------------------|----------------------|
+| B1   | x (Decision Variable)  | *(leave blank)*      |
+| B2   | y (Decision Variable)  | *(leave blank)*      |
+| B3   | Objective Function Z   | `=3*B1 + 5*B2`        |
+
+#### Constraints Left-Hand Side (LHS)
+
+| Cell | Description                | Formula             |
+|------|----------------------------|---------------------|
+| B5   | Constraint 1 LHS           | `=1*B1 + 2*B2`       |
+| B6   | Constraint 2 LHS           | `=2*B1 + 1*B2`       |
+
+#### Constraints Right-Hand Side (RHS)
+
+| Cell | Description                | Value               |
+|------|----------------------------|---------------------|
+| C5   | Constraint 1 RHS           | `100`               |
+| C6   | Constraint 2 RHS           | `80`                |
+
+---
+
+### Solver Configuration (Simplex LP)
 
 1. Go to `Data` > `Solver`.
 2. Set Objective Cell: `B3`
@@ -429,15 +477,30 @@ In the context of Linear Programming (LP) and the Simplex Method, Excel Solver c
 6. Choose **Simplex LP** as the solving method.
 7. Click **Solve**.
 
- <br>  
+---
+
+### Solution
+
+After running Solver
+
+x = 20
+y = 40
+Z = 320 + 540 = 260
 
-## [Example Excel Solver Example – Linear Programming with Simplex]()
+
+Z = 260
+
+
+——
+
+
+## Excel Solver Example – Linear Programming with Simplex
 
 This example demonstrates how to use Excel Solver to solve a Linear Programming problem using the **Simplex Method**.
 
-### [Problem Statement]():
+### Problem Statement
 
-[Maximize]():
+Maximize:
 
 Z = 40x + 30y
 
@@ -448,9 +511,7 @@ x + 2y ≤ 50
 x, y ≥ 0
 
 
-<br>
-
-### [Excel Setup]():
+### Excel Setup
 
 | Cell | Description              | Formula / Value     |
 |------|--------------------------|---------------------|
@@ -460,17 +521,12 @@ x, y ≥ 0
 | B5   | Constraint 1 (LHS)       | `=2*B1 + 1*B2`       |
 | B6   | Constraint 2 (LHS)       | `=1*B1 + 2*B2`       |
 
-
-<br>
-	
 | Cell | Constraint RHS           | Value               |
 |------|--------------------------|---------------------|
 | C5   | Constraint 1 (RHS)       | 40                  |
 | C6   | Constraint 2 (RHS)       | 50                  |
 
-<br>
-
-### [Solver Configuration]():
+### Solver Configuration
 
 1. Set Objective: **B3**  
 2. To: **Maximize**  
@@ -484,53 +540,13 @@ x, y ≥ 0
 
 Click **Solve** to find the optimal solution.
 
-<br>
-
-### [Solution Output]():
+### Solution Output
 
 After running Solver:
 
 - **x = 10**
 - **y = 20**
 - **Z = 40×10 + 30×20 = 1000**
-  
-<br>
-
-### Solver Configuration (Simplex LP)
-
-1. Go to `Data` > `Solver`.
-2. Set Objective Cell: `B3`
-3. Select: **Max**
-4. By Changing Variable Cells: `B1:B2`
-5. Add Constraints:
-    - `B5 <= C5`
-    - `B6 <= C6`
-    - `B1 >= 0`
-    - `B2 >= 0`
-6. Choose **Simplex LP** as the solving method.
-7. Click **Solve**.
-
-
-### [Solution]()
-
-After running Solver
-
-x = 20
-y = 40
-Z = 320 + 540 = 260
-
-
-Z = 260
-
-
-
-
-
-
-
-
-
-