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Standard XI
Economics
Social Efficiency
The figure de...
Question
The figure depicts a transportation problem along with the solution, The correct statement is
A
Unbalanced problem, sub-optimal solution
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B
Balanced problem, optimal solution
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C
Balanced problem, sub-optimal solution
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D
Unbalanced problem, optimal solution
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Solution
The correct option is
B
Balanced problem, optimal solution
Total supply = 15+15 = 30
Total demand = 10+20=30
Total supply = Total demand
It is a balanced transportation model.
To check the optimality we have to do the empty cell evaluation
(
S
2
,
D
1
)
.
Cell evaluation = 15-5+20-5 =25
As it is positive, further improvement is not possible. So it is the optimal solution.
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