A small manufacturing plant makes three types of inflatable boats: one-person, two-person, andfour-person models. Each boat requires the services of three departments, as listed in the table. Thecutting, assembly, and packaging departments have available a maximum of188,390,and176labor-hours per week, respectively. Construct a mathematical model to complete parts (A) through(C) below. Use Gauss-Jordan elimination to solve the model and then interpret the solution.DepartmentOne-Person BoatTwo-Person BoatFour-Person BoatCutting0.2hr0.4hr0.6hrAssembly0.6hr0.9hr1.2hrPackaging0.1hr0.3hr0.6hr Construct a mathematical model that describes the plant operating at full capacity. Let the first, second, and third equations represent the cutting, assembly, and packaging departments, respectively. Letx1represent the number of one-person boats,x2represent the number of two-person boats, andx3represent the number of four-person boats. x1+ x2+ x3= x1+ x2+ x3= x1+ x2+ x3= A small manufacturing plant makes three types ofinflatable boats: one-person, two-person, andfour-person models. Each boat requires the servicesof three departments, as listed in the table. Thecutting, assembly, and packaging departments haveavailable a maximum of 188, 390, and 176labor-hoursOne-PersonTwo-PersonFour-PersonDepartmentВoatВoatВoatCutting0.2 hr0.4 hr0.6 hrAssembly0.6 hr0.9 hr1.2 hrPackaging0.1 hr0.3 hr0.6 hrper week, respectively. Construct amathematical model to complete parts (A) through(C) below. Use Gauss-Jordan elimination to solvethe model and then interpret the solution.Construct a mathematical model that describes the plant operating at full capacity. Let the first, second, and third equations represent the cutting, assembly, and packaging departments, respectively. Let x, represent the number of one-personboats, x, represent the number of two-person boats, and x3 represent the number of four-person boats.X1 +X2 +X3 =X1 +X2 +X3%3DX1 +X2 +X3%3D(Type integers or decimals.)

Given that, x1 represents the number of one-person boats, x2 represents the number of two-person…

Answered: One-Person Two-Person Four-Person A…

Algebra for College Students

10th Edition

ISBN:9781285195780

Author:Jerome E. Kaufmann, Karen L. Schwitters

Publisher:Jerome E. Kaufmann, Karen L. Schwitters

Chapter11: Systems Of Equations

Section11.CT: Test

Problem 24CT

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A small manufacturing plant makes three types of inflatable boats: one-person, two-person, andfour-person models. Each boat requires the services of three departments, as listed in the table. Thecutting, assembly, and packaging departments have available a maximum of 188, 390, and 176 labor-hours per week, respectively. Construct a mathematical model to complete parts (A) through(C) below. Use Gauss-Jordan elimination to solve the model and then interpret the solution.	Department	One-Person Boat	Two-Person Boat	Four-Person Boat
Cutting	0.2 hr	0.4 hr	0.6 hr
Assembly	0.6 hr	0.9 hr	1.2 hr
Packaging	0.1 hr	0.3 hr	0.6 hr

Construct a mathematical model that describes the plant operating at full capacity. Let the first, second, and third equations represent the cutting, assembly, and packaging departments, respectively. Let

represent the number of one-person boats,

represent the number of two-person boats, and

represent the number of four-person boats.

x1	+	x2	+	x3	=
x1	+	x2	+	x3	=
x1	+	x2	+	x3	=

A small manufacturing plant makes three types of
inflatable boats: one-person, two-person, and
four-person models. Each boat requires the services
of three departments, as listed in the table. The
cutting, assembly, and packaging departments have
available a maximum of 188, 390, and 176
labor-hours
One-Person
Two-Person
Four-Person
Department
Вoat
Вoat
Вoat
Cutting
0.2 hr
0.4 hr
0.6 hr
Assembly
0.6 hr
0.9 hr
1.2 hr
Packaging
0.1 hr
0.3 hr
0.6 hr
per week, respectively. Construct a
mathematical model to complete parts (A) through
(C) below. Use Gauss-Jordan elimination to solve
the model and then interpret the solution.
Construct a mathematical model that describes the plant operating at full capacity. Let the first, second, and third equations represent the cutting, assembly, and packaging departments, respectively. Let x, represent the number of one-person
boats, x, represent the number of two-person boats, and x3 represent the number of four-person boats.
X1 +
X2 +
X3 =
X1 +
X2 +
X3
%3D
X1 +
X2 +
X3
%3D
(Type integers or decimals.)

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