Docsity
Docsity

Prepare for your exams
Prepare for your exams

Study with the several resources on Docsity


Earn points to download
Earn points to download

Earn points by helping other students or get them with a premium plan


Guidelines and tips
Guidelines and tips

Matrix Applications - Laboratory Report 4 | MATH 1050, Lab Reports of Algebra

Material Type: Lab; Professor: Storrs; Class: College Algebra (QL); Subject: Mathematics; University: Salt Lake Community College; Term: Unknown 1989;

Typology: Lab Reports

Pre 2010

Uploaded on 08/19/2009

koofers-user-oh8
koofers-user-oh8 🇺🇸

10 documents

1 / 4

Toggle sidebar

This page cannot be seen from the preview

Don't miss anything!

bg1
Math 1050 Lab # 4
Matrix Applications
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.
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 $28
Framing $4500
Brick laying $360
Roofing $450
pf3
pf4

Partial preview of the text

Download Matrix Applications - Laboratory Report 4 | MATH 1050 and more Lab Reports Algebra in PDF only on Docsity!

Math 1050 Lab # 4

Matrix Applications

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.

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.

  1. What is the total amount of each kind of material that must be ordered? Explain how you arrive at your answer and show the matrix operations used. Concrete __________________ Lumber ___________________ Brick _____________________ Shingles ___________________ The matrix operation used: ____________________________
  1. If the contractor includes the profit and overhead as 18% of the total materials and labor cost, then what is the total bid for the 100 house subdivision?
  2. In the real world, building a house requires much more than four different materials. Do you think it would be useful for a contractor to use matrices to store and manipulate the type of information in this project? Explain.