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 582, 548, 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 One-Person Two-Person Four-Person Department Вoat Вoat Boat Cutting 0.6 hr 1.2 hr 1.8 hr Assembly 0.8 hr 1.2 hr 1.6 hr Packaging 0.1 hr 0.3 hr 0.6 hr 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, x2 represent the number of two-person boats, and x3 represent the number of four-person boats. X1 + X2 + X3 = X1 + X2 + X3 = X1 + X2 + X3 = (Type integers or decimals.) Enter your answer in the edit fields and then click Check Answer.

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, 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 582,
548, 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
One-Person Two-Person Four-Person
Department
Вoat
Вoat
Boat
Cutting
0.6 hr
1.2 hr
1.8 hr
Assembly
0.8 hr
1.2 hr
1.6 hr
Packaging
0.1 hr
0.3 hr
0.6 hr
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, x2 represent the number of two-person boats, and x3 represent the number of four-person boats.
X1 +
X2 +
X3 =
X1 +
X2 +
X3 =
X1 +
X2 +
X3 =
(Type integers or decimals.)
Enter your answer in the edit fields and then click Check Answer.
Transcribed Image Text: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 582, 548, 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 One-Person Two-Person Four-Person Department Вoat Вoat Boat Cutting 0.6 hr 1.2 hr 1.8 hr Assembly 0.8 hr 1.2 hr 1.6 hr Packaging 0.1 hr 0.3 hr 0.6 hr 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, x2 represent the number of two-person boats, and x3 represent the number of four-person boats. X1 + X2 + X3 = X1 + X2 + X3 = X1 + X2 + X3 = (Type integers or decimals.) Enter your answer in the edit fields and then click Check Answer.
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