An oil company has two depots A and B with capacities 7000_{} and 4000_{} respectively. The company is to supply oil to three petrol pumps. D, E and F whose requirements are 4500 _{}, 3000_{} and 3500_{} respectively. The distance (in km) between the depots and petrol pump is given as follows:
To/From |
A |
B |
D |
7 |
3 |
How would the supplies be transported in order that the transportation cost is minimum? What is the minimum cost?
Asked by Topperlearning User | 12th Sep, 2014, 03:47: PM
Problem can be represented as
Minimise z = 16x + 20y
st x + 2y _{} 10
2x + 2y _{} 12 or x + y _{} 16
3x + y _{} 8
x _{} 0, y _{} 0
To/From |
A |
B |
D |
7 |
3 |
Assuming that transportation cost of 10 _{} of oil is Re 1.
Corner Points |
_{} |
A(3500, 0) |
z = 5000 |
Hence, minimum cost is Rs 4400, when
from depot A, 5000_{} is transported to D
3000_{} is transported to E
3500_{} is transported to F
from depot B 4000_{} is transported to D
Answered by | 12th Sep, 2014, 05:47: PM
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