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Let's break down the problem and set up the mathematical model based on the information provided:

### Variables:
Let:
- \( x \) be the area (in \( m^2 \)) used to plant **chili peppers (cabai)**.
- \( y \) be the area (in \( m^2 \)) used to plant **tomatoes (tomat)**.

### Constraints:

1. **Land constraint**: The total land available is 10,000 m², so:
   \[
   x + y \leq 10,000
   \]

2. **

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 needs to optimize the planting of chili and tomato on a 10,000 m² land using limited amounts of two types of fertilizers. Learn how to set up and solve this linear programming problem with constraints on land and fertilizer resources.

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