From these locations, a certain commodity is to be
delivered to each of the three depots situated at A, B and C 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