Finding the minimum cost for supply&demand distribution

L

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Dear All,

Regarding this thread, I have another question. I re-setup another file. a,b are start points. y,z are end points.
Columns I, N, S and X are transportation costs. The target is to distribute the supplies to the demands with the minimum cost.

I solved scenarios 1, 2, 3 and 4 manually. I want a generic formula that I can apply for scenarios 5, 6, 7 and 8 (Columns K, P, U and Z).
I just want to see the distribution logic behind it. The formula should handle varying numbers of start or end points.

Bonus formula: Find the optimal distrubiton by multiplying cost*load
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Excel Facts

How to find 2nd largest value in a column?
MAX finds the largest value. =LARGE(A:A,2) will find the second largest. =SMALL(A:A,3) will find the third smallest

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