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The problem you shared is an optimization problem related to maximizing profits in production, based on resource constraints. Here's a breakdown of the problem:

### Variables:
- Let \( x \) represent the number of sweet bread ("roti manis") produced.
- Let \( y \) represent the number of plain bread ("roti tawar") produced.

### Resource Constraints:
1. Flour (terigu):
   - Sweet bread uses 20g per unit.
   - Plain bread uses 40g per unit.
   - The maximum available flour is 8000g (8 kg).
   - Constraint: \( 20x + 40y \leq 8000 \)

2. Margarine:
   - Sweet bread uses 20g per unit.
   - Plain bread uses 20g per unit.
   - The maximum available margarine is 6000g (6 kg).
   - Constraint: \( 20x + 20y \leq 6000 \)

3. Sugar (gula):
   - Sweet bread uses 20g per unit.
   - Plain bread uses no sugar.
   - The maximum available sugar is 5000g (5 kg).
   - Constraint: \( 20x \leq 5000 \)

### Objective Function (Profit):
- Sweet bread gives a profit of Rp 1,100 per unit.
- Plain bread gives a profit of Rp 900 per unit.
- The objective is to maximize total profit:
  \[
  \text{Maximize } Z = 1100x + 900y
  \]

### Constraints Summary:
1. \( 20x + 40y \leq 8000 \) (Flour constraint)
2. \( 20x + 20y \leq 6000 \) (Margarine constraint)
3. \( 20x \leq 5000 \) (Sugar constraint)

Additionally, \( x \geq 0 \) and \( y \geq 0 \).

Would you like me to proceed with solving this optimization problem to find the values of \(x\) and \(y\) for the maximum profit?

Toko roti 'Wijaya' memproduksi 2 jenis roti yaitu roti manis dan roti tawar. Untuk membuat sebuah roti manis membutuhkan 20 gram terigu, 20 gram margarin dan 20 gram gula. Sedangkan untuk membuat sebuah roti tawar dibutuhkan 40 gram terigu & 20 gram margarin. Setiap kali proses pembuatan persediaan bahan adalah sebagai berikut: terigu maksimal 8 kg, margarin maksimal 6 kg, dan gula pasir maksimal 5 kg. Bila diketahui sebuah roti manis keuntungannya Rp 1.100,- dan roti tawar Rp 900,-. Berapa banyak masing-masing jenis roti harus dibuat setiap kali proses produksi agar diperoleh keuntungan yang maksimal dan berapa keuntungan yang diperoleh?

Solve the optimization problem where 'Toko Roti Wijaya' produces two types of bread: roti manis and roti tawar. The goal is to maximize profits using limited resources like flour, margarine, and sugar. Learn to apply linear programming to calculate the best production quantities.

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