A single facility is needed to meet the demand of four regions depicted as follows: If the plant is located at A,what is the total load-distance score,assuming Euclidean (straight line)distance?

Question

A single facility is needed to meet the demand of four regions depicted as follows:  If the plant is located at A,what is the total load-distance score,assuming Euclidean (straight line)distance?

Quizplus · Accepted Answer

Computing the total load-distance score for each location:

A: (0+10) + (8+6) + (6+12) + (10+8) = 60 
B: (10+0) + (14+4) + (12+10) + (16+14) = 90 
C: (8+6) + (0+10) + (8+6) + (12+10) = 60 
D: (6+12) + (8+6) + (0+10) + (10+8) = 60

Therefore, the best location is A with a total load-distance score of 60. The distance between A and each region is shorter than the distance between any other pair of regions. The total load-distance score is between 140 and 180, so the answer is C.

A Single Facility Is Needed to Meet the Demand of Four