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Practical Management Science

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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Question

**Description:**

The diagram illustrates a network of possible routes from city A to city M, along with the travel costs in dollars between connected cities. If two cities are not directly connected by a line (arc), there is no direct travel route between them.

The objective is for a traveler to find the least expensive path from city A to city M.

**Graph Explanation:**

- **Nodes (Cities):** A, B, C, D, E, F, G, H, I, J, K, L, M.
- **Arcs (Travel Routes with Costs):**
- A to B: $20
- A to C: $16
- B to D: $11
- B to E: $21
- C to F: $14
- D to G: $23
- E to I: $15
- F to I: $14
- F to H: $8
- G to J: $14
- G to I: $9
- H to K: $10
- I to M: $23
- J to L: $18
- K to I: $11
- L to M: $21

**Question:**

Which of the following paths would be infeasible?

The diagram implies that paths (routes) directly between cities that have no connecting arc are infeasible. Thus, a proposed path that jumps from a city to another without a direct or sequential connection is not possible.

**Multiple Choice Options**

1. **Option 1**
- A-B-D-G-J-L-M

2. **Option 2**
- A-B-E-G-J-L-M

3. **Option 3**
- A-C-F-I-G-J-L-M

4. **Option 4**
- A-C-F-H-K-M

5. **Option 5**
- A-B-D-G-I-M

*Note: Each option is preceded by a circular selection button.*

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