**Tutorial Exercise**Nicole wants to tour Asia. She will start and end her journey in Tokyo and visit Hong Kong, Bangkok, Seoul, and Beijing. The airfares available to her between cities are given in the table. Draw a weighted graph that represents the travel costs between cities and use the Greedy Algorithm to find a low-cost route.| | Tokyo | Hong Kong | Bangkok | Seoul | Beijing ||----------|-------|-----------|---------|-------|---------|| **Tokyo** | -- | $845 | $1275 | $470 | $880 || **Hong Kong** | $845 | -- | $320 | $515 | $340 || **Bangkok** | $1275 | $320 | -- | $520 | $365 || **Seoul** | $470 | $515 | $520 | -- | $225 || **Beijing** | $880 | $340 | $365 | $225 | -- |**Part 1 of 5**A graph is drawn illustrating the different possible flights between cities and the costs of the flights are considered the "weights." The weights are labeled on the graph below.### Graph DescriptionThe graph consists of nodes representing the cities:- **Tokyo**- **Hong Kong**- **Bangkok**- **Seoul**- **Beijing**Edges between these nodes represent direct flights, with weights indicating the cost of these flights:- Tokyo to Hong Kong: $845- Tokyo to Bangkok: $1275- Tokyo to Seoul: $470- Tokyo to Beijing: $880- Hong Kong to Bangkok: $320- Hong Kong to Seoul: $515- Hong Kong to Beijing: $340- Bangkok to Seoul: $520- Bangkok to Beijing: $365- Seoul to Beijing: $225**The missing weights are as follows:**A = Tokyo to Beijing: $880 B = Bangkok to Seoul: $520 C = Bangkok to Beijing: $365

The missing weights are as follows: A = 470 B = 225 C = 520 To use the greedy algorithm, start at Tokyo and travel along the edge with the smallest weight, which is 470 to Seoul. The edge of smallest weight leaving Seoul is the edge leaving to Beijing. From Beijing, the edge of smallest weight is the edge to Hong Kong of weight 340. From Hong Kong, the edge of smallest weight is the edge to Bangkok of weight 320. We have now visited Hong Kong, Bangkok, Seoul and Beijing. Nicole wants to end her tour at Tokyo. So from Bangkok we travel along the edge to Tokyo, which has edge weight 1275. The resulting route is: Tokyo→Seoul→Beijing→Hong Kong→Bangkok→Tokyo, for a total cost of $470 + $225 + $340 + $320 + $1275 = $2630.

Math

Advanced Math

Nicole wants to tour Asia. She will start and end her journey in Tokyo and visit Hong Kong, Bangkok, Seoul, and Beijing. The airfares available to her between cities are given in the table. Draw a weighted graph that represents the travel costs between cities and use the Greedy Algorithm to find a low-cost route. Tokyo Hong Kong Bangkok Seoul Beijing Tokyo $845 $1275 $470 $880 Hong Kong $845 $320 $515 $340 Bangkok $1275 $320 $520 $365 Seoul $470 $515 $520 $225 Beijing $880 $340 $365 $225

Nicole wants to tour Asia. She will start and end her journey in Tokyo and visit Hong Kong, Bangkok, Seoul, and Beijing. The airfares available to her between cities are given in the table. Draw a weighted graph that represents the travel costs between cities and use the Greedy Algorithm to find a low-cost route. Tokyo Hong Kong Bangkok Seoul Beijing Tokyo $845 $1275 $470 $880 Hong Kong $845 $320 $515 $340 Bangkok $1275 $320 $520 $365 Seoul $470 $515 $520 $225 Beijing $880 $340 $365 $225

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

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**Tutorial Exercise**

Nicole wants to tour Asia. She will start and end her journey in Tokyo and visit Hong Kong, Bangkok, Seoul, and Beijing. The airfares available to her between cities are given in the table. Draw a weighted graph that represents the travel costs between cities and use the Greedy Algorithm to find a low-cost route.

| | Tokyo | Hong Kong | Bangkok | Seoul | Beijing |
|----------|-------|-----------|---------|-------|---------|
| **Tokyo** | -- | $845 | $1275 | $470 | $880 |
| **Hong Kong** | $845 | -- | $320 | $515 | $340 |
| **Bangkok** | $1275 | $320 | -- | $520 | $365 |
| **Seoul** | $470 | $515 | $520 | -- | $225 |
| **Beijing** | $880 | $340 | $365 | $225 | -- |

**Part 1 of 5**

A graph is drawn illustrating the different possible flights between cities and the costs of the flights are considered the "weights." The weights are labeled on the graph below.

### Graph Description

The graph consists of nodes representing the cities:

- **Tokyo**
- **Hong Kong**
- **Bangkok**
- **Seoul**
- **Beijing**

Edges between these nodes represent direct flights, with weights indicating the cost of these flights:

- Tokyo to Hong Kong: $845
- Tokyo to Bangkok: $1275
- Tokyo to Seoul: $470
- Tokyo to Beijing: $880
- Hong Kong to Bangkok: $320
- Hong Kong to Seoul: $515
- Hong Kong to Beijing: $340
- Bangkok to Seoul: $520
- Bangkok to Beijing: $365
- Seoul to Beijing: $225

**The missing weights are as follows:**

A = Tokyo to Beijing: $880
B = Bangkok to Seoul: $520
C = Bangkok to Beijing: $365

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