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9. A coffee company wants to determine the daily production levels of its three different blends of coffee to ensure that no ingredients are wasted. The percentage of each ingredient used in each one of the three blends is shown in table A below. Blend Regular Medium Dark I 80% 20% 0% II 75% 20% 5% III 50% 40% 10%

9. A coffee company wants to determine the daily production levels of its three different blends of coffee to ensure that no ingredients are wasted. The percentage of each ingredient used in each one of the three blends is shown in table A below. Blend Regular Medium Dark I 80% 20% 0% II 75% 20% 5% III 50% 40% 10%

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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9. A coffee company wants to determine the daily production levels of its three different blends of coffee to ensure that no ingredients are wasted. The percentage of each ingredient used in each one of the three blends is shown in table A below. Blend Regular Medium Dark I 80% 20% 0% II 75% 20% 5% III 50% 40% 10% Mathematics 209: Finite Mathematics Assignment 2 2 (Revision 9) The amount of the ingredients (in Kg) used in a 3-day period is shown in table B below. Ingredient Day 1 Day 2 Day 3 Regular 350 750 560 Medium 160 230 190 Dark 40 20 30 a. Represent the portions, in decimals, of Regular, Medium and Dark used in the blends I, II, and III, by a matrix A, with each blend displayed in a column. b. Find the inverse of the matrix A. c. For each day, find the number of kilograms of each blend that could be produced if there were no waste. Express your answer in a table, with daily production displayed in each column.
Transcribed Image Text:9. A coffee company wants to determine the daily production levels of its three different blends of coffee to ensure that no ingredients are wasted. The percentage of each ingredient used in each one of the three blends is shown in table A below. Blend Regular Medium Dark I 80% 20% 0% II 75% 20% 5% III 50% 40% 10% Mathematics 209: Finite Mathematics Assignment 2 2 (Revision 9) The amount of the ingredients (in Kg) used in a 3-day period is shown in table B below. Ingredient Day 1 Day 2 Day 3 Regular 350 750 560 Medium 160 230 190 Dark 40 20 30 a. Represent the portions, in decimals, of Regular, Medium and Dark used in the blends I, II, and III, by a matrix A, with each blend displayed in a column. b. Find the inverse of the matrix A. c. For each day, find the number of kilograms of each blend that could be produced if there were no waste. Express your answer in a table, with daily production displayed in each column.
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