Table 11.7
Nuts-and-Bolts,Inc.wishes to find the best location for a plant that will satisfy customer demand in the following five areas.

-Use the information in Table 11.7.If the plant is located at the coordinates (5,5),what is the total load-distance score,assuming Euclidean (straight line)distance?

Question

Table 11.7
Nuts-and-Bolts,Inc.wishes to find the best location for a plant that will satisfy customer demand in the following five areas.
 
-Use the information in Table 11.7.If the plant is located at the coordinates (5,5),what is the total load-distance score,assuming Euclidean (straight line)distance?

Quizplus · Accepted Answer

To calculate the load-distance score, we need to multiply the demand of each area by the distance from that area to the plant, and then sum those products. Using Euclidean distance, the distances from the plant (5,5) to each area are as follows:

A: √[(5-2)^2 + (5-10)^2] = √74
B: √[(5-8)^2 + (5-2)^2] = √29
C: √[(5-12)^2 + (5-3)^2] = √109
D: √[(5-3)^2 + (5-5)^2] = 2
E: √[(5-15)^2 + (5-7)^2] = √170

Multiplying each demand by its respective distance and summing the products, we get:

(10*√74) + (15*√29) + (25*√109) + (20*2) + (30*√170) = 767.47

Therefore, the total load-distance score is more than 700 but less than or equal to 800. The best choice(s) would be the location(s) with the lowest load-distance score, which in this case is (8,2) with a score of 694.87. However, if we are limited to the five given coordinates, the best choice would be (3,3) with a score of 754.14.

Table 11.7 Nuts-And-Bolts,Inc.wishes to Find the Best Location for a Plant That