B) if the shipments from city A double, for the location of the proposed new cen
ID: 420001 • Letter: B
Question
B) if the shipments from city A double, for the location of the proposed new central hub, the coordinates should near:
X= _ Y= _
Solve the next part The folowing 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 10 15 (5,8) (5,7) (8,4) 7,9) 16 10 a) For the location of the proposed new central hub, the coordinates should be near 5.1 (round your response to two decimal places). 657 (round your response to two decimal places) b) If the shipments from city A double, for the location of the proposed new central hub, the coordinates should bp near x(round your response to two decimal places)
Explanation / Answer
a. x = [(5*5)+(5*10)+(5*15)+(8*5)+(7*16)+(3*10)+(1*5)]/(5+10+15+5+16+10+5)
= 5.11
y = [(10*5)+(8*10)+(7*15)+(4*5)+(9*16)+(1*10)+(5*5)]/(5+10+15+5+16+10+5)
= 6.58
b: Shipments from A, after getting doubled = 5*2 = 10
Thus x = [(5*10)+(5*10)+(5*15)+(8*5)+(7*16)+(3*10)+(1*5)]/(10+10+15+5+16+10+5)
= 5.10
y = [(10*10)+(8*10)+(7*15)+(4*5)+(9*16)+(1*10)+(5*5)]/(10+10+15+5+16+10+5)
= 6.82
Thus x = 5.10 and y = 6.82
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