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 4 units of protein, 1 unit of carbohydrate, and 4 units of fat, and will contain 40 calories. Every package must provide at least 4 units of protein, at least 16 units of carbohydrates, and no more than 16 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= 20 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.)

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter10: Matrices
Section10.1: Solution Of Linear Systems
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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 4 units of protein,
1 unit of carbohydrate, and 4 units of fat, and will contain 40 calories. Every package must provide at least 4 units of protein, at least 16 units of carbohydrates, and no more than 16 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= 20 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 20 calories. Each ounce of nuts will supply 4 units of protein, 1 unit of carbohydrate, and 4 units of fat, and will contain 40 calories. Every package must provide at least 4 units of protein, at least 16 units of carbohydrates, and no more than 16 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= 20 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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