The weekly requirements
of the depots are respectively 5, 5 and 4 units of the commodity while the production
capacity of the factories at P and Q are respectively 8 and 6 units The cost of
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524
MATHEMATICS
P
8 units
A
5 units
C
4 units
Q
6 units
Factory
Factory
Depot
Depot
B
5 units
Rs 1005 – y
Rs 120
Rs 100
Rs 150
Rs 160
6
[(5
) + (5
)]
x
y
–
–
–
Depot
y
Rs 100
8 –
x–
y
5
x
–
x
transportation per unit is given below:
From/To
Cost (in Rs)
A
B
C
P
160
100
150
Q
100
120
100
How many units should be transported from each factory to each depot in order that
the transportation cost is minimum What will be the minimum transportation cost Solution The problem can be explained diagrammatically as follows (Fig 12