Subjects transportation math

Bus Tariffs C5D0D1

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Bus Tariffs C5D0D1


1. **Stating the problem:** We have a 6x6 matrix representing bus tariffs between terminals A to F. The diagonal cells represent no route or zero cost (black squares). We want to understand the cost structure and possibly find routes or costs between terminals. 2. **Understanding the matrix:** The matrix shows direct bus tariffs (in thousands of Rupiah) between terminals. If a cell is empty, it means no direct bus route exists between those terminals. 3. **Given costs:** - From A to B: 15 - From A to C: 20 - From A to D: 50 - From B to A: 15 - From C to A: 20 - From C to D: 25 - From D to A: 50 - From D to C: 25 - From D to F: 35 - From E to F: 30 - From F to D: 35 - From F to E: 30 4. **Interpreting the data:** The costs are symmetric for some pairs (e.g., A to B and B to A both 15), but not all pairs have routes. 5. **Example question:** What is the cost to travel from A to F? 6. **Solution approach:** Since there is no direct route from A to F, we look for indirect routes. Possible path: A -> D -> F. 7. **Calculate cost:** $$\text{Cost}(A \to D) + \text{Cost}(D \to F) = 50 + 35 = 85$$ 8. **Conclusion:** The cost from A to F via D is 85 (thousands of Rupiah). This approach can be used to find costs between any two terminals by checking direct or indirect routes.