A Textile firmis currently producing 3 different fabrics for one of its clients. The client requires 4000, 3500, and 2500 meter of Cotton, Linen and Polyester, respectively. Theclient requires these fabrics in threedifferent colours. The composition of the colours is Color Cotton Linen Polyester 20% 20% 30% Violet 40% 55% 40% Magenta Purple 25% 35% 35% Table 3 The system of equation representing the aforementioned data will be; 0.4V + 0.25M + 0.35P = 4000 0.4V + 0.55M + 0.35P = 3500 0.2V + 0.20M + 0.30P = 2500 Use Inverse Matrix method to determine, how many meters must be produced of each color in order to meet the client's requirement?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 16EQ
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A Textile firmis currently producing 3 different fabrics for one of its clients. The client requires
4000, 3500, and 2500 meter of Cotton, Linen and Polyester, respectively. Theclient requires
these fabrics in threedifferent colours. The composition of the colours is
Color
Cotton
Linen
Polyester
20%
20%
30%
Violet
40%
55%
40%
Magenta
Purple
25%
35%
35%
Table 3
The system of equation representing the aforementioned data will be;
0.4V + 0.25M + 0.35P = 4000
0.4V + 0.55M + 0.35P = 3500
0.2V + 0.20M + 0.30P = 2500
Use Inverse Matrix method to determine, how many meters must be produced of each color in
order to meet the client's requirement?
Transcribed Image Text:A Textile firmis currently producing 3 different fabrics for one of its clients. The client requires 4000, 3500, and 2500 meter of Cotton, Linen and Polyester, respectively. Theclient requires these fabrics in threedifferent colours. The composition of the colours is Color Cotton Linen Polyester 20% 20% 30% Violet 40% 55% 40% Magenta Purple 25% 35% 35% Table 3 The system of equation representing the aforementioned data will be; 0.4V + 0.25M + 0.35P = 4000 0.4V + 0.55M + 0.35P = 3500 0.2V + 0.20M + 0.30P = 2500 Use Inverse Matrix method to determine, how many meters must be produced of each color in order to meet the client's requirement?
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