A construction factory produces column, beam and slab. Each column requires 20 bags of cement, 40 bags of sand and 100 bags of gravel. Each beam requires 80, 50 and 10 bags of the three ingredients, respectively. Finally, each slab requires 40, 160 and 20 bags of these ingredients, respectively. If 400 columns, 690 beams and 410 slabs are produced, find the number of cement, sand and gravel to be use that day using all suitable numerical method. Putting this information into table form, we get: cplumn Slab Beam Cement 20 80 40 Sand 40 50 160 Gravel 100 10 20 Assume that x1 representing cement, x2 representing sand and x3 representing gravel. Based on the information above, form the system of linear equations.
A construction factory produces column, beam and slab. Each column requires 20 bags of cement, 40 bags of sand and 100 bags of gravel. Each beam requires 80, 50 and 10 bags of the three ingredients, respectively. Finally, each slab requires 40, 160 and 20 bags of these ingredients, respectively. If 400 columns, 690 beams and 410 slabs are produced, find the number of cement, sand and gravel to be use that day using all suitable numerical method. Putting this information into table form, we get: cplumn Slab Beam Cement 20 80 40 Sand 40 50 160 Gravel 100 10 20 Assume that x1 representing cement, x2 representing sand and x3 representing gravel. Based on the information above, form the system of linear equations.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.2: Direct Methods For Solving Linear Systems
Problem 2CEXP
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Transcribed Image Text:A construction factory produces column, beam and slab. Each column
requires 20 bags of cement, 40 bags of sand and 100 bags of gravel.
Each beam requires 80, 50 and 10 bags of the three ingredients,
respectively. Finally, each slab requires 40, 160 and 20 bags of these
ingredients, respectively. If 400 columns, 690 beams and 410 slabs are
produced, find the number of cement, sand and gravel to be use that
day using all suitable numerical method. Putting this information into
table form, we get:
cplumn
Slab
Beam
Cement
20
80
40
Sand
40
50
160
Gravel
100
10
20
Assume that x1 representing cement, x2 representing sand and x3
representing gravel. Based on the information above, form the
system of linear equations.
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