This document discusses methods for replacement analysis of equipment. It describes four theoretical methods for determining the optimal time to replace equipment: intuitive method, minimum cost method, maximum profit method, and mathematical modeling method. These methods compare the costs of owning the current equipment to potential replacement options. The maximum profit method is examined in more detail, using an example to calculate the economic life when average annual cumulative profit is maximized. For the example trucks, the maximum profit method determines the proposed replacement truck should replace the current trucks immediately since its annual profit never exceeds that of the proposed truck.