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
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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
Transcribed Image Text:**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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