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Imbalance between production and marketing in operational research
The transportation problem of unbalanced production and marketing should be transformed into the transportation problem of balanced production and marketing.

If the total output is greater than the total sales volume, an imaginary sales place can be added to make its unit freight rate zero.

If the total sales volume is greater than the total output, an imaginary origin can be added to make the unit freight rate zero.

This becomes a problem of balance between production and sales, which you can solve.