Answer:
The coordinates of the location of the Blood bank = ( 20.7826, 9.73913 )
Explanation:
Coordinates of the Four(4) hospitals are
P1=(10,20), P2=(14,12), P3=(8,4) and P4=(32,6)
Number of deliveries to be made each year for each hospital respectively:
450, 1200, 300, and 1500
conditions :
(i) if travel is rectilinear in the city
(ii) if travel is measured in Euclidean distance.
<u>Determine where the Blood bank is to located to minimize weighted distance travelled each year </u>
find the values of the below variables :
Total load of the Hospitals( ∑load ) = 450 + 1200 + 300 + 1500 = 3450
Lx = ∑x * load = ∑ 10*450 + -------- + 32*1500 = 71700
Ly = ∑y * load = ∑ 20*450 +--------- + 6*1500 = 33600
The coordinates of the Blood bank = [ ( Lx / ( ∑load ) ) , Ly / ( ∑load ) ]
=[ (71700/3450) , (33600/3450) ]
Hence The coordinates of the location of the Blood bank = ( 20.7826, 9.73913 )
