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In order for a transportation matrix which has six rows and four columns not to degenerate, what is the number of occupied cells, in the matrix?
  • a)
    6
  • b)
    9
  • c)
    14
  • d)
    23
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
In order for a transportation matrix which has six rows and four colum...
Number of cells for non-degenerate solution 
= 6 + 4 - 1 = 9
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Community Answer
In order for a transportation matrix which has six rows and four colum...
Explanation:
To avoid degeneracy in a transportation matrix, the number of occupied cells should be less than or equal to (m+n-1), where m is the number of rows and n is the number of columns.

Given, the transportation matrix has six rows and four columns.

Therefore,
m = 6
n = 4

The maximum number of occupied cells that can be allowed without degeneracy is (6+4-1) = 9.

Hence, the correct option is (B) 9.
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