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 3 units of protein, 1 unit of carbohydrate, and 4 units of fat, and will contain 40 calories. Every package must provide at least 6 units of protein, at least 14 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 = 20 x + 40 y The dietician should use ounce(s) of fruit and (Type whole numbers.) ounce(s) of nuts. These amounts will have a total of calories.

Advanced Engineering Mathematics
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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, 3 units
of carbohydrates, and 2 units of fat, and will contain 20 calories. Each ounce of nuts will supply 3 units of protein, 1 unit
of carbohydrate, and 4 units of fat, and will contain 40 calories. Every package must provide at least 6 units of protein, at
least 14 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 = 20 x + 40 y
The dietician should use ounce(s) of fruit and
(Type whole numbers.)
ounce(s) of nuts. These amounts will have a total of
calories.
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 3 units of protein, 1 unit of carbohydrate, and 4 units of fat, and will contain 40 calories. Every package must provide at least 6 units of protein, at least 14 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 = 20 x + 40 y The dietician should use ounce(s) of fruit and (Type whole numbers.) ounce(s) of nuts. These amounts will have a total of calories.
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