https://file.aiquickdraw.com/mathbot/file/1729486990108x3hl88d7.jpg

The image you've uploaded contains a transportation problem that needs to be solved, likely using a method like the "Northwest Corner Rule" (NWC), "Stepping Stone" or "MODI" for optimization. Here's a breakdown of the information presented:

### Matrix Information:
- **Rows (Pabrik):** These represent three factories (Pabrik 1, 2, 3).
- **Columns (Pasar):** These represent three markets (Pasar A, B, C) plus a "Penawaran" column (Supply).
- **Demand (Permintaan):** Listed below the matrix for the three markets.
  
#### Given Data:
- The table shows costs of shipping from each factory (Pabrik) to each market (Pasar). The costs are:
  - From **Pabrik 1**: Pasar A: 20, Pasar B: 5, Pasar C: 8
  - From **Pabrik 2**: Pasar A: 15, Pasar B: 20, Pasar C: 10
  - From **Pabrik 3**: Pasar A: 25, Pasar B: 10, Pasar C: 19
  
- **Supply (Penawaran)** from each factory:
  - Pabrik 1: 90 units
  - Pabrik 2: 60 units
  - Pabrik 3: 50 units

- **Demand (Permintaan)** from each market:
  - Pasar A: 50 units
  - Pasar B: 110 units
  - Pasar C: 40 units

### Questions:
1. **Berapa biaya dari NWC (Northwest Corner Rule)?**
   - We need to solve this using the Northwest Corner Rule.
2. **Apakah ada kemungkinan biaya bisa lebih murah?**
   - This question asks whether there is a potential for cost reduction through optimization.
3. **Jika ya, maka berapa biaya minimal yang bersifat optimisasi?**
   - If possible, what is the minimum optimized cost?

### Steps:
I will first calculate the cost using the Northwest Corner Rule. Then we will assess if there's room for optimization and calculate the minimal cost if applicable.

Would you like to proceed with the detailed Northwest Corner solution? Let me know!

The user provided a transportation problem matrix where they are asked to calculate costs using the Northwest Corner Rule (NWC) and to explore optimization possibilities.

Learn how to solve a transportation problem using the Northwest Corner Rule. This problem involves three factories and three markets with supply and demand constraints. Discover the optimal cost of shipping goods while exploring potential cost reductions using optimization techniques like the Stepping Stone and MODI methods.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation