Math Problem Statement

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.

Solution

Let's break down the problem:

The farmer has 10,000 m² of land and wants to plant two types of crops: chili peppers (cabai) and tomatoes (tomat). There are two types of fertilizers involved: Fertilizer A and Fertilizer B. The amount of fertilizers required for each type of crop is:

  • For chili peppers:

    • Fertilizer A: 2 kg/m²
    • Fertilizer B: 1 kg/m²

  • For tomatoes:

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Math Problem Analysis

Mathematical Concepts

Linear Programming
System of Inequalities

Formulas

2x + y ≤ 18,000
x + 2y ≤ 16,000
x + y ≤ 10,000

Theorems

Feasible Region
Optimization

Suitable Grade Level

College-level

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