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?
A)less than or equal to 100
B)more than 100 but less than or equal to 140
C)more than 140 but less than or equal to 180
D)more than 180

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?
A)less than or equal to 100 
B)more than 100 but less than or equal to 140 
C)more than 140 but less than or equal to 180 
D)more than 180

Quizplus · Accepted Answer

To calculate the load-distance score, we need to multiply the demand of each region with the straight-line distance of that region from the facility location A. Based on the given map, the distances and demands are:

A-B: 6 units, demand 60
A-C: 8 units, demand 80
A-D: 10 units, demand 70
A-E: 12 units, demand 90

The load-distance score is the sum of these products: (6x60) + (8x80) + (10x70) + (12x90) = 360 + 640 + 700 + 1080 = 2780.

This score falls between 140 and 180, so the answer is C.

A Single Facility Is Needed to Meet the Demand of Four