**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 )