A dietician is planning a snack package of fruit and nuts. Each ounce of fruit will supply zero units of​ protein,33 units of​ carbohydrates, and 22 units of​ fat, and will contain 40 calories. Each ounce of nuts will supply 44 units of​ protein,11 unit nothing of carbohydrate nothing​,and 44 units of​ fat, and will contain 50 calories. Every package must provide at least 12 units of​ protein, at least 18 units of​ carbohydrates, and no more than 24 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?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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,33 units of​ carbohydrates, and 22 units of​ fat, and will contain 40 calories. Each ounce of nuts will supply 44 units of​ protein,11 unit nothing of carbohydrate nothing​,and 44 units of​ fat, and will contain 50 calories. Every package must provide at least 12 units of​ protein, at least 18 units of​ carbohydrates, and no more than 24 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?

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