An individual needs a daily supplement of at least 420 units of vitamin C and 170 units of vitamin E and agrees to obtain this supplement by eating two foods, I and II. Each ounce of food I contains 32 units of vitamin C and 10 units of vitamin E, while each ounce of food II contains 20 units of vitamin C and also 14 units of vitamin E. The total supplement of these two foods must be at most 28 ounces. Unfortunately, food I contains 27 units of cholesterol per ounce and food II contains 13 units of cholesterol per ounce. Find the appropriate amounts of the two food supplements so that cholesterol is minimized.
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