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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 30 calories. Each ounce of nuts will supply 2 units of protein, 2 units of carbohydrates, and 4 units of fat, and will contain 40 calories. Every package must provide at least 4 units of protein, at least 10 units of carbohydrates, and no more than 18 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? Let x be the ounces of fruit and y be the ounces of nuts. What is the objective function that must by minimized? z= 30 x+ 40 y The dietician should use ounce(s) of fruit and ounce(s) of nuts. These amounts will have a total of calories. (Type whole numbers.)

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 30 calories. Each ounce of nuts will supply 2 units of protein, 2 units of carbohydrates, and 4 units of fat, and will contain 40 calories. Every package must provide at least 4 units of protein, at least 10 units of carbohydrates, and no more than 18 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? Let x be the ounces of fruit and y be the ounces of nuts. What is the objective function that must by minimized? z= 30 x+ 40 y The dietician should use ounce(s) of fruit and ounce(s) of nuts. These amounts will have a total of calories. (Type whole numbers.)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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 30 calories. Each ounce of nuts will supply 2 units of protein, 2 units of carbohydrates, and 4 units of fat, and will contain 40 calories. Every package must provide at least 4 units of protein, at least 10 units of carbohydrates, and no more than 18 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? Let x be the ounces of fruit and y be the ounces of nuts. What is the objective function that must by minimized? z= 30 x+ 40 y The dietician should use ounce(s) of fruit and ounce(s) of nuts. These amounts will have a total of calories (Type whole numbers.)
Transcribed Image Text: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 30 calories. Each ounce of nuts will supply 2 units of protein, 2 units of carbohydrates, and 4 units of fat, and will contain 40 calories. Every package must provide at least 4 units of protein, at least 10 units of carbohydrates, and no more than 18 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? Let x be the ounces of fruit and y be the ounces of nuts. What is the objective function that must by minimized? z= 30 x+ 40 y 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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