The Optimal Level of Insulation in a Home Attic

Summary

The 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.