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An animal shelter mixes two brands of dog food. Brand X costs $26 per bag and contains two units of nutrient A, two units of nutrient B, and two units of nutrient C. Brand Y costs $23 per bag and contains one unit of nutrient A, nine units of nutrient B, and three units of nutrient C. The minimum required amounts of nutrients A, B, and C are 12 units, 36 units, and 24 units, respectively. What is the optimal number of bags of each brand that should be mixed? Brand X bags Brand Y bags What is the optimal cost?

An animal shelter mixes two brands of dog food. Brand X costs $26 per bag and contains two units of nutrient A, two units of nutrient B, and two units of nutrient C. Brand Y costs $23 per bag and contains one unit of nutrient A, nine units of nutrient B, and three units of nutrient C. The minimum required amounts of nutrients A, B, and C are 12 units, 36 units, and 24 units, respectively. What is the optimal number of bags of each brand that should be mixed? Brand X bags Brand Y bags What is the optimal cost?

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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An animal shelter mixes two brands of dog food. Brand X costs $26 per bag and contains two units of nutrient A, two units of nutrient B, and two units of nutrient C. Brand Y costs $23 per bag and contains one unit of nutrient A, nine units of nutrient B, and three units of nutrient C. The minimum required amounts of nutrients A, B, and C are 12 units, 36 units, and 24 units, respectively. What is the optimal number of bags of each brand that should be mixed? Brand X bags Brand Y bags What is the optimal cost? $
Transcribed Image Text:An animal shelter mixes two brands of dog food. Brand X costs $26 per bag and contains two units of nutrient A, two units of nutrient B, and two units of nutrient C. Brand Y costs $23 per bag and contains one unit of nutrient A, nine units of nutrient B, and three units of nutrient C. The minimum required amounts of nutrients A, B, and C are 12 units, 36 units, and 24 units, respectively. What is the optimal number of bags of each brand that should be mixed? Brand X bags Brand Y bags What is the optimal cost? $
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