The Optimal Level of Insulation in a Home Attic
- Resource Type
- Article
- Authors
- Martin, Paul; Premadasa, Kirthi
- Source
- College Mathematics Journal; March 2012, Vol. 43 Issue: 2 p165-168, 4p
- Subject
- Language
- ISSN
- 07468342; 19311346
SummaryThe project models the conductive heat loss through the ceiling of a home. Students are led through a sequence of tasks from measuring the area and insulation status of a home to developing several functions leading to a net savings function where the depth of insulation is the input. At this point students use calculus or a graphing utility to determine the optimal savings. Extensions to air conditioning savings and a present values of future savings are also included.