An individual needs a daily supplement of at least 561 units of vitamin C and 128 of vitamin E and agrees to obtain this supplement by eating two foods, I and II. Each ounce of food I...

An individual needs a daily supplement of at least 561 units of vitamin C and 128 of vitamin E and agrees to obtain this supplement by eating two foods, I and II. Each ounce of food I contains 66 units of vitamin C and 8 units of vitamin E, while each ounce of food II contains 33 units of vitamin C and also 16 units of vitamin E. The total supplement of these two foods must be at most 26 ounces. Unfortunately, food I contains 30 units of cholesterol per ounce and food II contains 22 units of cholesterol per ounce. Find the appropriate amounts of the two food supplements so that cholesterol is minimized. Find the minimum amount of cholesterol.