A researcher wants to provide a rabbit exactly 132 units of​ protein, 162 units of​ carbohydrates, and 30 units of vitamin A. The rabbit is fed three types of food. Each gram of Food A has 4 units of​ protein, 5 units of carbohydrates, and1 unit of vitamin A. Each gram of Food B contains 9 units of​ protein,11 units of​ carbohydrates, and 2 units of vitamin A. Each gram of Food C contains 14 units of​ protein, 17 units of​ carbohydrates, and 3 units of vitamin A. How many grams of each food should the rabbit be​ fed?

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