In a laboratory experiment, a researcher wants to provide a rabbit with exactly 1000 units of vitamin A, exactly 1600 units of vitamin C, and exactly 2400 units of vitamin E. The rabbit is fed a mixture of three foods whose nutritional content is given by the accompanying table. How many grams of each food should the rabbit be fed?

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Food 2 Food 3 Food 1 Vitamin A 4 (units per gram) 3 10 Vitamin C (units per gram) 9 14 Vitamin E (units per gram) 2.