Question

This question set uses the metropolitan model for facility location decisions. Each demand source has a weight indicating the volume of sales it is expected to generate. Using the demand data and five potential locations below: 1. Find the sum of weighted metropolitan model distances for each of the five locations; A1, A2, A3, A4 and A5. Be sure the calculations are shown for each location's sum of distances. (8pts) 2. As evidenced by having the smallest weighted sum of distances, which location is best? (2pts) + Demand Data Weight D E 2 35 29 3 29 39 4 23 25 29 34 1 3 37 30 2 29 37 3 23 33 2 34 23 1 20 24 8 3 30 29 21 5 39 27 34 28 25 29 3 31 34 2 3 18 1 33 5 26 29 30 25 31 2 1 18 40 31 2 40 D E 26 32 31 33 Location A1 A2 АЗ A4 A5 31 33 31 29 29 32

Answer 1

The question asks for the calculation of the sum of weighted distances for different facility locations using the metropolitan model but cannot be answered without detailed data. The goal is to find the most cost-effective location, closely related to the principles of Weber's, Huff, and Hotelling location models.

Step-by-step explanation:

This question is focused on the geographical concepts of facility location decisions, specifically applying the metropolitan model to determine the best location based on weighted distances to demand sources. However, without the detailed demand data and the coordinates for the potential locations A1 through A5, it is not possible to provide the sum of weighted metropolitan model distances.

The metropolitan model, similar to Weber's Location Model, considers transportation costs that are associated with different locations. The optimal location, as per Weber's model and other similar models like the Huff Model or the Hotelling Model, is traditionally the one with the smallest weighted sum of distances from demand sources, indicating the lowest transportation costs.