One disadvantage of using North-West Corner rule to find initial solution to the transportation problem is that:a.It is complicated to use.b.It does not take into account cost of transportation.c.It leads to a degenerate initial solution.d.It may provide wrong solution.
Question
One disadvantage of using North-West Corner rule to find initial solution to the transportation problem is that:a.It is complicated to use.b.It does not take into account cost of transportation.c.It leads to a degenerate initial solution.d.It may provide wrong solution.
Solution
The North-West Corner rule is a method used to compute the initial feasible solution in transportation problems. However, it does have some disadvantages:
a. It is complicated to use: This is subjective and depends on the user's familiarity with the method. Some might find it complicated while others might not.
b. It does not take into account cost of transportation: This is true. The North-West Corner rule does not consider the cost while allocating. It simply starts from the top left cell (north-west corner) and moves towards the right and bottom, fulfilling the supply and demand constraints. Therefore, it might not lead to the most cost-effective solution.
c. It leads to a degenerate initial solution: This is not necessarily true. A degenerate solution is one where the number of occupied cells is less than m+n-1 (where m is the number of rows and n is the number of columns). While it's possible that the North-West Corner rule could lead to a degenerate solution, it's not a guaranteed outcome.
d. It may provide wrong solution: This is not true. The North-West Corner rule will always provide a feasible solution, if one exists. However, as mentioned earlier, it might not be the most cost-effective solution.
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