Shirley Thomas is a real estate agent for Bungalow Realty. She is responsible for managing potential customers for 5 of the company's bungalows. In order to make her daily job easier, Shirley decides to move to a central location closer to the 5 bungalows. The table below gives the location (X and Y coordinates) of the 5 bungalows along with an estimate of the number of trips Shirley expects to make to each bungalow each month. Location X-coordinate Y-coordinate Trips per month bungalow 1 0 0 6 bungalow 2 25 100 30 bungalow 3 20 75 15 bungalow 4 90 80 28 bungalow 5 60 100 10 Shirley desires to find a location (set of coordinates) that minimizes the sum of the weighted distances to the 5 bungalows. Use the trips per month values as the weights. What is the X-coordinate of the optimal location? Round your answer to two decimal places. What is the Y-coordinate of the optimal location? Round your answer to two decimal places. According to the model, what is the unweighted distance between the optimal location and bungalow 1? Round your answer to two decimal places.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter6: Optimization Models With Integer Variables
Section: Chapter Questions
Problem 100P
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Shirley Thomas is a real estate agent for Bungalow Realty. She is responsible for managing potential customers for 5 of
the company's bungalows. In order to make her daily job easier, Shirley decides to move to a central location closer to the
5 bungalows. The table below gives the location (X and Y coordinates) of the 5 bungalows along with an estimate of the
number of trips Shirley expects to make to each bungalow each month.
Location X-coordinate Y-coordinate Trips per month
bungalow 1
0
0
6
bungalow 2
25
100
30
bungalow 3
20
75
15
bungalow 4
90
80
28
bungalow 5
60
100
10
Shirley desires to find a location (set of coordinates) that minimizes the sum of the weighted distances to the 5
bungalows. Use the trips per month values as the weights.
What is the X-coordinate of the optimal location?
Round your answer to two decimal places.
What is the Y-coordinate of the optimal location?
Round your answer to two decimal places.
ab
According to the model, what is the unweighted distance between the optimal location and bungalow 1?
Round your answer to two decimal places.
abc
Transcribed Image Text:Shirley Thomas is a real estate agent for Bungalow Realty. She is responsible for managing potential customers for 5 of the company's bungalows. In order to make her daily job easier, Shirley decides to move to a central location closer to the 5 bungalows. The table below gives the location (X and Y coordinates) of the 5 bungalows along with an estimate of the number of trips Shirley expects to make to each bungalow each month. Location X-coordinate Y-coordinate Trips per month bungalow 1 0 0 6 bungalow 2 25 100 30 bungalow 3 20 75 15 bungalow 4 90 80 28 bungalow 5 60 100 10 Shirley desires to find a location (set of coordinates) that minimizes the sum of the weighted distances to the 5 bungalows. Use the trips per month values as the weights. What is the X-coordinate of the optimal location? Round your answer to two decimal places. What is the Y-coordinate of the optimal location? Round your answer to two decimal places. ab According to the model, what is the unweighted distance between the optimal location and bungalow 1? Round your answer to two decimal places. abc
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