A Textile firm is currently producing 2 different fabrics for one of its clients. The client requires 4000, 3500, and 2500 meter of Cotton, Linen and Polyester, respectively. The client requires these fabrics in three different colours. The composition of the colours is Color Cotton Linen Polyester 30% 50% 20% Violet 52% 18% Magenta 20% 30% Purple 25% 55% Table 2 The system of equation representing the aforementioned data will be, 0. 52V + 0. 2OM + 0. 25P = 4000 0. 3V + 0.50M + 0. 20P = 3500 0. 18V + 0. 3OM + 0. 55P = 2500 Use Crammer's Rule to determine, how many meters must be produced of each color in order to meet the client's requirement?
A Textile firm is currently producing 2 different fabrics for one of its clients. The client requires 4000, 3500, and 2500 meter of Cotton, Linen and Polyester, respectively. The client requires these fabrics in three different colours. The composition of the colours is Color Cotton Linen Polyester 30% 50% 20% Violet 52% 18% Magenta 20% 30% Purple 25% 55% Table 2 The system of equation representing the aforementioned data will be, 0. 52V + 0. 2OM + 0. 25P = 4000 0. 3V + 0.50M + 0. 20P = 3500 0. 18V + 0. 3OM + 0. 55P = 2500 Use Crammer's Rule 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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Transcribed Image Text:A Textile firm is currently producing 3 different fabrics for one of its clients. The client requires 4000, 3500, and 2500 meter of Cotton, Linen and Polyester, respectively. The client requires these fabrics in three different colours. The composition of the colours is
Color
Cotton
Linen
Polyester
Violet
52%
30%
18%
Magenta
20%
50%
30%
Purple
25%
20%
55%
Table 2
The system of equation representing the aforementioned data will be;
0. 52V + 0. 20M + 0. 25P = 4000 0. 3V + 0. 50M + 0. 20P = 3500
0. 18V + 0. 30M + 0. 55P = 2500
Use Crammer's Rule to determine, how many meters must be produced of each color in order to meet the client's requirement?
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