a. If traffic between the staging area and the first two construction sites (2,2) and (1,4) is 50 trips per week and the traffic between the staging area and the construction area at (5,5) is 20 trips per week, what is the best coordinates for theequipment staging area?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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**Problem: Optimal Location for Equipment Staging Area**

1. **Context:** ART Contractors must determine the optimal location for an equipment staging area to efficiently serve three construction sites. The sites are located at the coordinates (2, 2), (1, 4), and (5, 5). 

   **Reference:** Notesnaper Quick Start Question #14

2. **Question:**

   a. **Scenario:** The traffic between the staging area and the first two construction sites at coordinates (2, 2) and (1, 4) involves 50 trips per week. Meanwhile, the traffic between the staging area and the construction site at coordinate (5, 5) consists of 20 trips per week. Determine the optimal coordinates for the equipment staging area to minimize travel.

**Analysis:**

To solve this, consider the weighted center of the locations based on the frequency of trips. The weights are the number of trips per week to each site.
Transcribed Image Text:**Problem: Optimal Location for Equipment Staging Area** 1. **Context:** ART Contractors must determine the optimal location for an equipment staging area to efficiently serve three construction sites. The sites are located at the coordinates (2, 2), (1, 4), and (5, 5). **Reference:** Notesnaper Quick Start Question #14 2. **Question:** a. **Scenario:** The traffic between the staging area and the first two construction sites at coordinates (2, 2) and (1, 4) involves 50 trips per week. Meanwhile, the traffic between the staging area and the construction site at coordinate (5, 5) consists of 20 trips per week. Determine the optimal coordinates for the equipment staging area to minimize travel. **Analysis:** To solve this, consider the weighted center of the locations based on the frequency of trips. The weights are the number of trips per week to each site.
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