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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 20 B 11 21 D E 14 23 14 H 10 11 K 18 23 21 M

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 20 B 11 21 D E 14 23 14 H 10 11 K 18 23 21 M

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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**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.
Transcribed Image Text:**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.*
Transcribed Image Text:**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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