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31 changes: 31 additions & 0 deletions README.md
Original file line number Diff line number Diff line change
Expand Up @@ -575,13 +575,17 @@ A study on resource usage showed the possibility of producing two products: **P1
- **P1 yields a profit of 120 monetary units per unit**
- **P2 yields a profit of 150 monetary units per unit**

<br>

The production department provided the following **resource usage** table:

| Product | R1/unit | R2/unit | R3/unit |
|---------|---------|---------|---------|
| **P1** | 2 | 3 | 5 |
| **P2** | 4 | 0 | 3 |

<br>

And the **monthly resource availability**:

| Resource | Monthly Availability |
Expand All @@ -590,6 +594,33 @@ And the **monthly resource availability**:
| **R2** | 90 |
| **R3** | 120 |

<br>

---

### 🎯 Objective:

### ***Mathematically model the **Linear Programming (LP)** problem to **maximize profit** under resource constraints***.

---

### 🧠 Step-by-Step Modeling

### 1. 🧮 Decision Variables

- Let:

x₁ = quantity produced of product P1

x₂ = quantity produced of product P2

Or in LaTeX (for use in documents):









Expand Down