Question

The following table gives the map coordinates and the shipping loads for a set of cities that we wish to connect through a central hub. (3.8) С D E F G City Map Coordinates (x,y) Shipping Load А (5.11) 6 (6.7) 10 16 (8,6) 6 (7.8) 14 (3.2) 11 (2.5) 5 a) For the location of the proposed new central hub, the coordinates should be near (round your response to two decimal places). y-round your response to two decimal places). b) If the shipments from city Atriple, for the location of the proposed new central hub, the coordinates should be near (round your response to two decimal places). ya (round your response to two decimal places). Enter your answer in each of the answer boxes.

Answer 1

Solution:-

Part:- A

City	X	Y	Shipping Load	Weighted X	Weighted Y
A	5	11	6	30	66
B	6	7	10	60	70
C	3	8	16	48	128
D	8	6	6	48	36
E	7	8	14	98	112
F	3	2	11	33	22
G	2	5	5	10	25
Total			68	327	459

X bar = 327 / 68 = 4.81

Y bar = 459 / 68 = 6.75

Part B:-

We need to change the quantity of shipping load of City A from 5 to 15 (Triple)

City	X	Y	Shipping Load	Weighted X	Weighted Y
A	5	11	18	90	198
B	6	7	10	60	70
C	3	8	16	48	128
D	8	6	6	48	36
E	7	8	14	98	112
F	3	2	11	33	22
G	2	5	5	10	25
Total			80	387	591

X bar = 387 / 80 = 4.84

Y bar = 591 / 80 = 7.39

Please give me a Thumbs up ?.Thanks!!