Question

how to solve b) X and Y

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. City Map Coordinates (x,y) Shipping Load A (4,10) (5,8) (4,9) (7,6) (6,9) (3,3) (3,5) 5 B 11 C 15 5 E 16 9 4. G a) For the location of the proposed new central hub, the coordinates should be near 4.69 (round your response to two decimal places). x 7.6 (round your response to two decimal places) y b) If the shipments from city A triple, for the location of the proposed new central hub, the coordinates should be near: (round your response to two decimal places).

Answer 1

Solution:-

Part:- A

City	X	Y	Shipping Load	Weighted X	Weighted Y
A	4	10	5	20	50
B	5	8	11	55	88
C	4	9	15	60	135
D	7	6	5	35	30
E	6	9	16	96	144
F	3	3	9	27	27
G	3	5	4	12	20
Total			65	305	494

X bar = 305 / 65 = 4.69

Y bar = 494 / 65 = 7.6

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	4	10	15	60	150
B	5	8	11	55	88
C	4	9	15	60	135
D	7	6	5	35	30
E	6	9	16	96	144
F	3	3	9	27	27
G	3	5	4	12	20
Total			75	345	594

X bar = 345 / 75 = 4.6

Y bar = 594 / 75 = 7.92

Answer 2

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.  

City	Map Coordinates (x.y)	Shipping Load
A	(6,11)	6
B	(7,9)	9
C	(5,8)	14
D	(8,4)	5
E	(8,8)	15
F	(4,3)	11

a) For the location of the proposed new central hub, the coordinates should be near:

x = ___ (round your response to two decimal places).

y = ___ (round your response to two decimal places).

b) If the shipment from city A triple, for the location of the proposed new central hub, the coordinate should be near:

x = ___ (round your response to two decimal places).

y = ___ (round your response to two decimal places).