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A company has three factories, factory 1, factory 2 and factory 3, which produce maple syrup. The company meets the demand of four major supermarkets:

A company has three factories, factory 1, factory 2 and factory 3, which produce maple syrup. The company meets the demand of four major supermarkets: IXAM supermarket, AGI supermarket, AP supermarket and ORTEM supermarket. The demand in tons per month is 7, 12, 17 and 8 for IXAM supermarket, AGI supermarket, AP supermarket and ORTEM supermarket respectively. The monthly capacity of factories 1 and 2 is 22 and 15 tons, respectively.

Knowing that this situation corresponds to a minimum cost flow problem, the problem is feasible if and only if the monthly capacity of plant 3 is ???

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