What will be the ideal location (coordinates) for the intermediate

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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Task 1: An oil refining company ships the following gasoline volumes from its refining plant in Long beach to its major
distributors:
Coordinates (x, y)
400, 150
450, 350
350, 400
25, 450
Distributor
Gallons (in millions)
Anaheim
150
LaHabra
350
Glendale
250
Thousand Oaks
450
The location coordinates of the refining plant in Long Beach are: (325, 75). Under a new proposed distribution setting,
the company wants to setup an intermediate holding facility, such that gasoline will first get transported to this holding
facility, and then, from there, to the distributors. What will be the ideal location (coordinates) for the intermediate
holding facility?
(Round to 2 decimal places.)
Transcribed Image Text:Task 1: An oil refining company ships the following gasoline volumes from its refining plant in Long beach to its major distributors: Coordinates (x, y) 400, 150 450, 350 350, 400 25, 450 Distributor Gallons (in millions) Anaheim 150 LaHabra 350 Glendale 250 Thousand Oaks 450 The location coordinates of the refining plant in Long Beach are: (325, 75). Under a new proposed distribution setting, the company wants to setup an intermediate holding facility, such that gasoline will first get transported to this holding facility, and then, from there, to the distributors. What will be the ideal location (coordinates) for the intermediate holding facility? (Round to 2 decimal places.)
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