Question

An individual needs a daily supplement of at least 420 units of vitamin C and 336 of vitamin E and agrees to obtain this supplement by eating two foods, I and II. Each ounce of food I contains 84 units of vitamin C and 24 units of vitamin E, while each ounce of food II contains 42 units of vitamin C and also 48 units of vitamin E. The total supplement of these two foods must be at most 23 ounces. Unfortunately, food I contains 31 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.

amount of food I		___ oz
amount of food II		___ oz
minimum cholesterol		___ units

Answer 1