The figure below shows the possible routes from city A to city M as well as the cost (in dollars) of a trip between each pair of cities (note that if no arc joins two cities it is not possible to travel non-stop between those two cities). A traveler wishes to find the lowest cost option to travel from city A to city M. A B 21 D H 10 K M Which nodes are the origin and destination for this problem?

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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**Multiple Choice Question:**

Please read each option carefully and select the correct answer by clicking the circle next to it.

1. ○ Node A is the origin, Node I is the destination.

2. ○ Node A is the origin, Node M is the destination.

3. ○ Node B is the origin, Node I is the destination.

4. ○ Node B is the destination, Node I is the origin.

5. ○ Node A is the destination, Node I is the origin.

---

*Note: Each option describes a different configuration of nodes as either origins or destinations, indicating possible paths or routes within a network structure.*
Transcribed Image Text:**Multiple Choice Question:** Please read each option carefully and select the correct answer by clicking the circle next to it. 1. ○ Node A is the origin, Node I is the destination. 2. ○ Node A is the origin, Node M is the destination. 3. ○ Node B is the origin, Node I is the destination. 4. ○ Node B is the destination, Node I is the origin. 5. ○ Node A is the destination, Node I is the origin. --- *Note: Each option describes a different configuration of nodes as either origins or destinations, indicating possible paths or routes within a network structure.*
The figure below shows the possible routes from city A to city M as well as the cost (in dollars) of a trip between each pair of cities (note that if no arc joins two cities it is not possible to travel non-stop between those two cities). A traveler wishes to find the lowest cost option to travel from city A to city M.

### Diagram Explanation:

The diagram is a directed graph consisting of nodes and arcs:

- **Nodes:** Represent cities labeled A, B, C, D, E, F, G, H, I, J, K, L, and M.
- **Arcs (with costs):** Demonstrate possible travel routes between cities with associated travel costs labeled in dollars. Notable arcs include:
  - A to B (20), A to C (16), A to F (14)
  - B to D (23), B to E (21)
  - C to F (14)
  - D to G (22)
  - E to I (15)
  - F to I (14), F to H (8)
  - G to I (15)
  - H to K (11)
  - I to M (23)
  - J to L (18)
  - I to J (17)
  - I to L (19)
  - K to I (10)

### Question:

Which nodes are the origin and destination for this problem?

**Answer:**

- **Origin Node:** A
- **Destination Node:** M

The goal is to find the lowest cost path from city A to city M.
Transcribed Image Text:The figure below shows the possible routes from city A to city M as well as the cost (in dollars) of a trip between each pair of cities (note that if no arc joins two cities it is not possible to travel non-stop between those two cities). A traveler wishes to find the lowest cost option to travel from city A to city M. ### Diagram Explanation: The diagram is a directed graph consisting of nodes and arcs: - **Nodes:** Represent cities labeled A, B, C, D, E, F, G, H, I, J, K, L, and M. - **Arcs (with costs):** Demonstrate possible travel routes between cities with associated travel costs labeled in dollars. Notable arcs include: - A to B (20), A to C (16), A to F (14) - B to D (23), B to E (21) - C to F (14) - D to G (22) - E to I (15) - F to I (14), F to H (8) - G to I (15) - H to K (11) - I to M (23) - J to L (18) - I to J (17) - I to L (19) - K to I (10) ### Question: Which nodes are the origin and destination for this problem? **Answer:** - **Origin Node:** A - **Destination Node:** M The goal is to find the lowest cost path from city A to city M.
Expert Solution
Step 1

Ans) In the current diagram we can see that traveller wanted to reach from A to M in minimum cost.

So, If traveller wants to start from A, origin would be Node A.

Traveller wants to reach M, so destination will be Node M.

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