An individual needs a daily supplement of at least 378 units of vitamin C and 351 of vitamin E and agrees to obtain this supplement by eating two foods, I and II. Each ounce of food I contains 54 units of vitamin C and 27 units of vitamin E, while each ounce of food II contains 27 units of vitamin C and also 54 units of vitamin E. The total supplement of these two foods must be at most 23 ounces. Unfortunately, food I contains 43 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 minimum cholesterol units

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
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An individual needs a daily supplement of at least 378 units of vitamin C and 351 of vitamin E and agrees to obtain this supplement by eating two foods, I and II. Each ounce of food I contains 54
units of vitamin C and 27 units of vitamin E, while each ounce of food II contains 27 units of vitamin C and also 54 units of vitamin E. The total supplement of these two foods must be at most 23
ounces. Unfortunately, food I contains 43 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
Transcribed Image Text:An individual needs a daily supplement of at least 378 units of vitamin C and 351 of vitamin E and agrees to obtain this supplement by eating two foods, I and II. Each ounce of food I contains 54 units of vitamin C and 27 units of vitamin E, while each ounce of food II contains 27 units of vitamin C and also 54 units of vitamin E. The total supplement of these two foods must be at most 23 ounces. Unfortunately, food I contains 43 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
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