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Material Type: Lab; Professor: Storrs; Class: College Algebra (QL); Subject: Mathematics; University: Salt Lake Community College; Term: Unknown 1989;
Typology: Lab Reports
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Matrices can be used to organize large amounts of information in a format which is easy to understand and manipulate. In this lab you will take information about a large building project and manipulate it in matrix form to come up with a bid for the project.
A contractor needs to give a developer a bid for a 100 house subdivision. The following tables contain information about the project. Types of houses required: Model 3 bedroom style 4 bedroom style Ranch 12 15 Tudor 8 36 Colonial 18 11 Materials required: Style Concrete (cubic yards) Lumber (1000 board feet) Brick (1000's) Shingles (100 sq. ft. bundles) 3 bedroom 50 4.5 24 12 4 bedroom 60 6 36 16 Labor costs (per unit of material): Concrete laying $ Framing $ Brick laying $ Roofing $
Materials costs (per unit of material): Concrete $ Lumber $ Brick $ Shingles $ Use the above information to construct the required matrices. Label the matrices with different capital letters and write them below. The purpose of this lab is to work with matrices. Solutions arrived at without showing matrix operations will not be considered correct. Use your matrices to answer the following questions. Every matrix you use must be named with a capital letter and every matrix operation you perform must be clearly indicated. Try to use the most efficient matrix operations to answer the questions.