Table 13.7
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 13.7. If the plant is located at the coordinates (5, 5), what is the total load-distance score, assuming Euclidean (straight line) distance?
A) less than or equal to 600
B) more than 600 but less than or equal to 700
C) more than 700 but less than or equal to 800
D) more than 800

Question

Table 13.7
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 13.7. If the plant is located at the coordinates (5, 5), what is the total load-distance score, assuming Euclidean (straight line) distance?
A) less than or equal to 600 
B) more than 600 but less than or equal to 700 
C) more than 700 but less than or equal to 800 
D) more than 800

Quizplus · Accepted Answer

Calculating the load-distance score using the Euclidean distance formula and summing up for all 5 customer areas, we get:

Area 1: sqrt[(2-5)^2 + (10-5)^2] x 50 = 223.6 x 50 = 11,180
Area 2: sqrt[(8-5)^2 + (5-5)^2] x 80 = 3 x 80 = 240
Area 3: sqrt[(4-5)^2 + (4-5)^2] x 100 = sqrt(2) x 100 = 141.4
Area 4: sqrt[(6-5)^2 + (2-5)^2] x 70 = sqrt(10) x 70 = 221.4
Area 5: sqrt[(1-5)^2 + (1-5)^2] x 90 = 4 x 90 = 360

Total load-distance score = 11,180 + 240 + 141.4 + 221.4 + 360 = 12,143.8

Therefore, the answer is C, more than 700 but less than or equal to 800.

Table 13.7 Nuts-And-Bolts, Inc. Wishes to Find the Best Location for a for a Plant