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The problem involves a farmer who wants to plant two types of crops: chili peppers (cabai) and tomatoes (tomat). The farmer has a total land area of 10,000 m² and limited supplies of two types of fertilizers: Fertilizer A and Fertilizer B.

### Let's define variables:
- Let \( x \) be the area (in m²) used for planting chili.
- Let \( y \) be the area (in m²) used for planting tomatoes.

### Given dataThe problem involves a farmer who wants to plant two types of crops: chili peppers (cabai) and tomatoes (tomat). The farmer has a total land area of 10,000 m² and limited supplies of two types of fertilizers: Fertilizer A and Fertilizer B.

### Let's define variables:
- Let \( x \) be the area (in m²) used for planting chili.
- Let \( y \) be the area (in m²) used for planting tomatoes.

### Given 
1. **Chili** requires:
   - 2 kg of Fertilizer A per m².
   - 1 kg of Fertilizer B per m².

2. **Tomato** requires:
   - 1 kg of Fertilizer A per m².
   - 2 kg of Fertilizer B per m².

3. The available resources are:
   - 18,000 kg of Fertilizer A.
   - 16,000 kg of Fertilizer B.

4. The total land available is 10,000 m².

### Mathematical Model:

The constraints for this problem can be written as:

1. **Land constraint:**
   \[
   x + y \leq 10,000 \quad \text{(The total land used for both crops must not exceed 10,000 m²)}
   \]

2. **Fertilizer A constraint:**
   \[
   2x + y \leq 18,000 \quad \text{(The total usage of Fertilizer A)}
   \]

3. **Fertilizer B constraint:**
   \[
   x + 2y \leq 16,000 \quad \text{(The total usage of Fertilizer B)}
   \]

4. **Non-negativity constraints:**
   \[
   x \geq 0, \quad y \geq 0
   \]

### Objective:
The goal is to determine the maximum area of land that can be used to plant both chili and tomatoes while using up all the available resources (land and fertilizers). This is essentially solving the system of inequalities.

### Solving this system of inequalities:
We will use graphical or linear programming methods to find the optimal solution where the resources are fully utilized. This involves finding the points of intersection for the boundary lines and evaluating the feasibility of each point with respect to the constraints.

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Seorang petani ingin menanam dua jenis tanaman, yaitu cabai dan tomat. Ia memiliki lahan seluas 10.000 m². Untuk menanam cabai, dibutuhkan pupuk A sebanyak 2 kg/m² dan pupuk B sebanyak 1 kg/m². Sedangkan untuk menanam tomat, dibutuhkan pupuk A sebanyak 1 kg/m² dan pupuk B sebanyak 2 kg/m². Petani tersebut memiliki persediaan pupuk A sebanyak 18.000 kg dan pupuk B sebanyak 16.000 kg. Buatlah model matematika dari permasalahan tersebut! Berapa luas lahan maksimum yang dapat ditanami cabai dan tomat agar pupuk yang tersedia habis?

A farmer has 10,000 m² of land and limited supplies of Fertilizer A (18,000 kg) and Fertilizer B (16,000 kg). Learn how to create a mathematical model using linear programming to maximize the land used for planting chili and tomatoes while ensuring optimal fertilizer usage.

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