A juice producer makes their signature mixed fruite juice by mixing equal amounts of apple, mandarin, and pomegranate fruit concentrates at an average flow rate of 11 gallons/min. The apple and mandarin fruit concentrates are added at a rate of 28 gallons/min and 22 gallons/min respectively. a. At what rate does the pomegranate concentrate need to be added to ensure the target average flow rate? Answer in exact fraction, or rounded to at least 4 decimal places gallons/min b. After the mixture is ready, the final product is poured into bottles at a flow rate of 14 gallons/min. What is the average rate of flow for the entire process of mixing the concentrates and packaging the final juice? Answer in exact fraction, or rounded to at least 4 decimal places. gallons/min

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
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A juice producer makes their signature mixed fruite juice by mixing equal amounts of apple, mandarin, and pomegranate fruit concentrates at an average
flow rate of 11 gallons/min. The apple and mandarin fruit concentrates are added at a rate of 28 gallons/min and 22 gallons/min respectively.
a. At what rate does the pomegranate concentrate need to be added to ensure the target average flow rate?
Answer in exact fraction, or rounded to at least 4 decimal places
gallons/min
b. After the mixture is ready, the final product is poured into bottles at a flow rate of 14 gallons/min. What is the average rate of flow for the entire
process of mixing the concentrates and packaging the final juice?
Answer in exact fraction, or rounded to at least 4 decimal places.
gallons/min
Transcribed Image Text:Problem 2 4.0 points possible (graded, results hidden) A juice producer makes their signature mixed fruite juice by mixing equal amounts of apple, mandarin, and pomegranate fruit concentrates at an average flow rate of 11 gallons/min. The apple and mandarin fruit concentrates are added at a rate of 28 gallons/min and 22 gallons/min respectively. a. At what rate does the pomegranate concentrate need to be added to ensure the target average flow rate? Answer in exact fraction, or rounded to at least 4 decimal places gallons/min b. After the mixture is ready, the final product is poured into bottles at a flow rate of 14 gallons/min. What is the average rate of flow for the entire process of mixing the concentrates and packaging the final juice? Answer in exact fraction, or rounded to at least 4 decimal places. gallons/min
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