Please answer in 30 minutes and round correctly! Thank you 1. Boxmart needs to s
ID: 375860 • Letter: P
Question
Please answer in 30 minutes and round correctly! Thank you
1. Boxmart needs to set up a new hub to distribute to a number of stores in four cities. The table below gives the map coordinates and number of weekly shipments for each city.
City
X Coordinate
Y Coordinate
Shipments
A
5.75
1.75
20
B
5.50
1.00
30
C
3.00
5.25
15
D
3.00
2.00
16
a.What should be the center of gravity x-coordinate for the new hub? (Display your answer to two decimal places.)
b.What should be the center of gravity y-coordinate for the new hub? (Display your answer to two decimal places.)
City
X Coordinate
Y Coordinate
Shipments
A
5.75
1.75
20
B
5.50
1.00
30
C
3.00
5.25
15
D
3.00
2.00
16
Explanation / Answer
Cx= sum of (dix * Vi)/ sum of Vi
Cy= sum of (diy * Vi)/ sum of Vi
Co-ordinate X = (5.75*20 + 5.5*30 + 3*15 + 3*16)/(20+30+15+16) = 4.604 = 4.60
Co-ordinate Y = (1.75*20 + 1*30 + 5.25*15 + 2*16)/(20+30+15+16) = 2.169 = 2.17