The following table gives the map coordinates and the shipping loads for a set of cities that we wish to connect through a central hub. Map Coordinates (x,y) (4,11) (5,7) (5,9) (8,6) (8,9) (3,1) (3,5) City Shipping Load A 4 B 10 16 4 E 14 F 11 G 4 a) For the location of the proposed new central hub, the coordinates should be near: X = (round your response to two decimal places). y = (round your response to two decimal places). b) If the shipments from city A double, for the location of the proposed new central hub, the coordinates should be near: x = (round your response to two decimal places). y = | (round your response to two decimal places).
The following table gives the map coordinates and the shipping loads for a set of cities that we wish to connect through a central hub. Map Coordinates (x,y) (4,11) (5,7) (5,9) (8,6) (8,9) (3,1) (3,5) City Shipping Load A 4 B 10 16 4 E 14 F 11 G 4 a) For the location of the proposed new central hub, the coordinates should be near: X = (round your response to two decimal places). y = (round your response to two decimal places). b) If the shipments from city A double, for the location of the proposed new central hub, the coordinates should be near: x = (round your response to two decimal places). y = | (round your response to two decimal places).
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![**Educational Website Transcription**
**Title: Optimizing the Location for a New Central Hub**
The following table provides the map coordinates and the shipping loads for a set of cities that are to be connected through a central hub.
| City | Map Coordinates (x, y) | Shipping Load |
|------|------------------------|---------------|
| A | (4, 11) | 4 |
| B | (5, 7) | 10 |
| C | (5, 9) | 16 |
| D | (8, 6) | 4 |
| E | (8, 9) | 14 |
| F | (3, 1) | 11 |
| G | (3, 5) | 4 |
### Questions:
**a)** For the location of the proposed new central hub, the coordinates should be near:
- \( x = \) [ ] (round your response to two decimal places).
- \( y = \) [ ] (round your response to two decimal places).
**b)** If the shipments from city A double, for the location of the proposed new central hub, the coordinates should be near:
- \( x = \) [ ] (round your response to two decimal places).
- \( y = \) [ ] (round your response to two decimal places).
### Instruction:
Calculate the optimal coordinates by considering shipping loads as weights to minimize the total transportation distance to the central hub.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F398ce734-0cd0-45d5-83c6-681a63142f42%2F0792b99a-9a4f-4653-b75e-57e2e22da9ee%2Forhkitk_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Educational Website Transcription**
**Title: Optimizing the Location for a New Central Hub**
The following table provides the map coordinates and the shipping loads for a set of cities that are to be connected through a central hub.
| City | Map Coordinates (x, y) | Shipping Load |
|------|------------------------|---------------|
| A | (4, 11) | 4 |
| B | (5, 7) | 10 |
| C | (5, 9) | 16 |
| D | (8, 6) | 4 |
| E | (8, 9) | 14 |
| F | (3, 1) | 11 |
| G | (3, 5) | 4 |
### Questions:
**a)** For the location of the proposed new central hub, the coordinates should be near:
- \( x = \) [ ] (round your response to two decimal places).
- \( y = \) [ ] (round your response to two decimal places).
**b)** If the shipments from city A double, for the location of the proposed new central hub, the coordinates should be near:
- \( x = \) [ ] (round your response to two decimal places).
- \( y = \) [ ] (round your response to two decimal places).
### Instruction:
Calculate the optimal coordinates by considering shipping loads as weights to minimize the total transportation distance to the central hub.
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