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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 40 calories. Each ounce of nuts will supply 2 units of protein, 2 units of carbohydrates, and 4 units of fat, and will contain 50 calories. Every package must provide at least 6 units of protein, at least 12 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? Let x be the ounces of fruit and y be the ounces of nuts. What is the objective function that must by minimized? z= 40 x + 50 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 40 calories. Each ounce of nuts will supply 2 units of protein, 2 units of carbohydrates, and 4 units of fat, and will contain 50 calories. Every package must provide at least 6 units of protein, at least 12 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? Let x be the ounces of fruit and y be the ounces of nuts. What is the objective function that must by minimized? z= 40 x + 50 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.)

College Algebra
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 40 calories. Each ounce of nuts will supply 2 units of protein, 2 units of carbohydrates, and 4 units of fat, and will contain 50 calories. Every package must provide at least 6 units of protein, at least 12 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? Let x be the ounces of fruit and y be the ounces of nuts. What is the objective function that must by minimized? z = 40 x + 50 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 40 calories. Each ounce of nuts will supply 2 units of protein, 2 units of carbohydrates, and 4 units of fat, and will contain 50 calories. Every package must provide at least 6 units of protein, at least 12 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? Let x be the ounces of fruit and y be the ounces of nuts. What is the objective function that must by minimized? z = 40 x + 50 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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