An individual needs a daily supplement of at least 405 units of vitamin C and 210 of vitamin E and agrees to obtain this supplement by eating two foods, I and II. Each ounce of food I contains 30 units of vitamin C and 14 units of vitamin E, while each ounce of food II contains 15 units of vitamin C and also 28 units of vitamin E. The total supplement of these two foods must be at most 33 ounces. Unfortunately, food I contains 24 units of cholesterol per ounce and food II contains 28 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

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
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An individual needs a daily supplement of at least 405 units of vitamin C and 210 of vitamin E and agrees to obtain this supplement by eating two foods, I and II. Each ounce of food I contains 30 units of vitamin C and 14 units of vitamin E, while each ounce of food II contains 15 units of vitamin C and also 28 units of vitamin E. The total supplement of these two foods must be at most 33 ounces. Unfortunately, food I contains 24 units of cholesterol per ounce and food II contains 28 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
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