A dietician is planning a snack package of fruit and nuts. Each ounce of fruit will supply zero units of​ protein, 3 units of​ carbohydrates, and 2 units of​ fat, and will contain 20 calories. Each ounce of nuts will supply 2 units of​ protein, 2 units of carbohydrates​, and 4 units of​ fat, and will contain 30 calories. Every package must provide at least 4 units of​ protein, at least 19 units of​ carbohydrates, and no more than 20 units of fat. Find the number of ounces of fruit and number of ounces of nuts that will meet the requirement with the least number of calories. What is the least number of​ calories? The dietician should use ______ ​ounce(s) of fruit and _____ ounce(s) of nuts. These amounts will have a total of _____. calories. ​(Type whole​ numbers.)

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Systems Of Equations And Inequalities
Section6.5: Systems Of Inequalities
Problem 9ECP
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A dietician is planning a snack package of fruit and nuts. Each ounce of fruit will supply zero units of​ protein, 3 units of​ carbohydrates, and 2 units of​ fat, and will contain 20 calories. Each ounce of nuts will supply 2 units of​ protein, 2 units of carbohydrates​, and 4 units of​ fat, and will contain 30 calories. Every package must provide at least 4 units of​ protein, at least 19 units of​ carbohydrates, and no more than 20 units of fat. Find the number of ounces of fruit and number of ounces of nuts that will meet the requirement with the least number of calories. What is the least number of​ calories?

The dietician should use ______ ​ounce(s) of fruit and _____ ounce(s) of nuts. These amounts will have a total of _____. calories.
​(Type whole​ numbers.)

 

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