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. A coffee company wants to determine the daily production levels of its three different blends ofcoffee to ensure that no ingredients are wasted. The percentage of each ingredient used in each oneof the three blends is shown in table A below.Blend Regular Medium DarkI80%20%0%II75%20%5%III50%40%10% 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 3RegularMediumDark350750560160230190402030

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Answered: A coffee company wants to determine the…

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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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.

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%

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
Medium
Dark
350
750
560
160
230
190
40
20
30

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