**Multiple Choice Question:**1. ○ Maximum-Cost Flow problem2. ○ Average-Cost Flow problem3. ○ Maximum Flow Problem4. ○ Minimum Flow Problem5. ○ Shortest Path Problem*Note: This is a multiple-choice question where students can select one option related to flow problems in network theory.* 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 network graph with nodes representing cities labeled A through M. Directed arcs between the cities indicate possible travel routes, with numbers representing the travel cost in dollars.- **Cities and Costs:** - A to B: $20 - A to E: $16 - A to F: $14 - B to D: $21 - B to E: $14 - D to G: $23 - E to G: $14 - E to I: $15 - F to H: $8 - G to I: $14 - I to J: $9 - I to K: $11 - I to M: $23 - J to L: $18 - K to M: $11 - L to M: $21**Question:**Which type of network optimization problem is used to solve this problem?The problem described is a "Shortest Path Problem," where the objective is to determine the path from city A to city M with the lowest total cost. This involves finding the cost-effective sequence of routes within a weighted network. Techniques such as Dijkstra's algorithm can be used to solve this type of problem efficiently.

Answered: Which type of network optimization…

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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Related questions

Question

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 network graph with nodes representing cities labeled A through M. Directed arcs between the cities indicate possible travel routes, with numbers representing the travel cost in dollars.

- **Cities and Costs:**
- A to B: $20
- A to E: $16
- A to F: $14
- B to D: $21
- B to E: $14
- D to G: $23
- E to G: $14
- E to I: $15
- F to H: $8
- G to I: $14
- I to J: $9
- I to K: $11
- I to M: $23
- J to L: $18
- K to M: $11
- L to M: $21

**Question:**
Which type of network optimization problem is used to solve this problem?

The problem described is a "Shortest Path Problem," where the objective is to determine the path from city A to city M with the lowest total cost. This involves finding the cost-effective sequence of routes within a weighted network. Techniques such as Dijkstra's algorithm can be used to solve this type of problem efficiently.

Expert Solution

Step 1

The network optimization problem is a mathematical problem that is trying to find the least cost of all the paths that can be taken in a network. In order to do so, it must find an optimal solution in which there are no redundant links between any two nodes and every link has the same cost. There are many algorithms that can be used for this optimization problem such as Dijkstra’s algorithm and the Bellman-Ford algorithm.