Table 13.5
Paul's Pretzels manufactures and distributes gourmet pretzels for limited retail sales. Paul has determined the "demand points" and their relative locations as follows:

-Use the information in Table 13.5. If Paul desires to locate a manufacturing facility at the center of gravity, what would be the x and y coordinates of the facility?
A) x ≤ 14, y ≤ 14
B) x ≤ 14, y ≥ 14
C) x ≤ 15, y ≤ 14
D) x

Question

Table 13.5
Paul's Pretzels manufactures and distributes gourmet pretzels for limited retail sales. Paul has determined the "demand points" and their relative locations as follows:
 
-Use the information in Table 13.5. If Paul desires to locate a manufacturing facility at the center of gravity, what would be the x and y coordinates of the facility?
A) x ≤ 14, y ≤ 14 
B) x ≤ 14, y ≥ 14 
C) x ≤ 15, y ≤ 14 
D) x < 15, y ≥ 15

Quizplus · Accepted Answer

To find the center of gravity, we need to compute the x-coordinate and the y-coordinate for the point where the sum of (demand * location) is minimized. Using the given data in Table 13.5, we can calculate:
x-coordinate = (6*11 + 8*15 + 10*13 + 12*14 + 18*12) / (6+8+10+12+18) = 13.625
y-coordinate = (6*10 + 8*12 + 10*13 + 12*14 + 18*15) / (6+8+10+12+18) = 13.875
Rounding to the nearest integer, we get x=14 and y=14. Therefore, the facility should be located at (x,y) = (14,14), which corresponds to choice C.

Table 13.5 Paul's Pretzels Manufactures and Distributes Gourmet Pretzels for Limited Retail