For the problem below, what is the quantity assigned to the cell Source 1-Destination 2 using the intuitive lowest-cost method for an initial feasible solution?
COSTS |
Dest. 1 |
Dest. 2 |
Dest. 3 |
Supply |
Source 1 |
2) |
1) |
3) |
50 |
Source 2 |
4) |
7) |
5) |
40 |
Source 3 |
3) |
12) |
6) |
30 |
Demand |
50 |
45 |
25 |
120 \ 120 |
A) 1
B) 5
C) 30
D) 45
E) 50
Question:- For the problem below, what is the quantity assigned to the cell Source 1-Destination 2 using the intuitive lowest-cost method for an initial feasible solution?
Answer:- D:- 45
Reason:-
In the intuitive lowest-cost method, first of all, we will find the least transportation cost in the entire network which is 1 belonging to cell Source 1-Destination 2 as this cell has the least transportation cost of 1.
Thus the demand from Destination 2 is 45 while the supply from source 1 is 50. Thus the entire demand of Destination 2 will be addressed by source 1. Thus the allocation on cell Source 1-Destination 2 will be 45 and the remaining supply from source 1 is 50-45=5 units.
Thus the correct answer is:-
45 units
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