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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38) SET UP ONLY: A business has 3 machines that manufacture containers. Together they can make 100 containers per day, whereas the two fastest machines can make 80 containers per day. The fastest machine makes 34 more containers per day than the slowest machine. How many containers can each machine make per day?
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2. A company is planning to open a maximum of 11 new stores in Chicago. The stores will be built in one of three sizes: a convenience store (open 24 hrs.), a standard store, and an expanded service store. The convivence store requires $4.1215 million to build and 30 employees to operate. The standard store requires $8.25 million to build and 15 employees to operate. The expanded-services store requires $12.375 million to build and 45 employees to operate. The company can dedicate up to $82.5 million for construction, and 300 employees to staff the stores. On average, the convenience store nets $1.2 million annually, the standard store nets $2 million and the expanded service store nets $2.6 million annually. How many of each store should the company build to maximize revenue? Use excel solver.
14 see picture to solve