1. A small manufacturing plant makes three types of inflatable boats: one-person, two-person, and four-person models. Each boat requires the service of three departments, as listed on the table. The cutting, assembly, and packaging departments have a maximum of 380, 330, and 120 labor- hours per week, respective. Department One-Person Boat Two-Person Boat Four-Person Boat Cutting 0.5 hours 1.0 hours 1.5 hours Assembly 0.6 hours 0.9 hours 1.2 hours Packaging 0.2 hours 0.3 hours 0.5 hours How many boats of each type must be produced each week for the plant to operate at full capacity? Make sure to label the variables using a complete sentence, write the system of equations, write the corresponding augmented matrix, solve using matrix methods, and write your answer as a complete sentence (you might need to use the other side of the page)

1. A small manufacturing plant makes three types of inflatable boats: one-person, two-person, and four-person models. Each boat requires the service of three departments, as listed on the table. The cutting, assembly, and packaging departments have a maximum of 380, 330, and 120 labor- hours per week, respective. Department One-Person Boat Two-Person Boat Four-Person Boat Cutting 0.5 hours 1.0 hours 1.5 hours Assembly 0.6 hours 0.9 hours 1.2 hours Packaging 0.2 hours 0.3 hours 0.5 hours How many boats of each type must be produced each week for the plant to operate at full capacity? Make sure to label the variables using a complete sentence, write the system of equations, write the corresponding augmented matrix, solve using matrix methods, and write your answer as a complete sentence (you might need to use the other side of the page)

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Question

1. A small manufacturing plant makes three types of inflatable boats: one-person, two-person, and
four-person models. Each boat requires the service of three departments, as listed on the table.
The cutting, assembly, and packaging departments have a maximum of 380, 330, and 120 labor-
hours per week, respective.
Department
One-Person Boat
Two-Person Boat
Four-Person Boat
Cutting
0.5 hours
1.0 hours
1.5 hours
Assembly
0.6 hours
0.9 hours
1.2 hours
Packaging
0.2 hours
0.3 hours
0.5 hours
How many boats of each type must be produced each week for the plant to operate at full capacity?
Make sure to label the variables using a complete sentence, write the system of equations, write the
corresponding augmented matrix, solve using matrix methods, and write your answer as a complete
sentence (you might need to use the other side of the page)

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