A biologist has placed three strains of bacteria (denoted I, II, and III) in a test tube, where they will feed on three different food sources (A, B, and C). Suppose that 400 units of food A, 600 units of B, and 280 units of C are placed in the test tube each day, and the data on daily food consumption by the bacteria (in units per day) are as shown in the table. How many bacteria of each strain can coexist in the test tube and consume all of the food? Bacteria Strain I Bacteria Strain II Bacteria Strain III Food A 1 2 0 Food B 1 1 2 Food C 0 1 1 strain I strain II strain III

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