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 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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