The city council of Fayetteville has decided to locate an emergency response unit within the city. This unit is responsible for four housing sectors (A) and three major street intersections (P) as shown in the figure below. Assume that the weights are uniformly distributed over the housing sectors.

a. Determine the minisum location based on the weights given in the table below, assuming no restrictions apply to the location of the emergency response unit.

b. Determine the minisum location assuming the new facility cannot be located within a housing sector.

c. Determine the minimax location by measuring distances to the centroids of areas and using the weights given in the table below.

d. Determine the minimax location based on equal weights and measuring distance to the farthest point in an area.

Transcribed Image Text:

Housing Sector Weight Intersection Weight A 10 P Az A3 A 15 15. P 20 P3 355 30 15 30 y-axis 10 10 5 P A A A A Pa 0 5 10 15 x-axis