A decision model for adopting an extended warranty under different maintenance policies

Numerous products are sold with a warranty period and the possibility of buying an extended warranty for a given additional cost. The buyer has then to decide to take the extended warranty or not when purchasing the product. We develop in this paper a mathematical model to study the opportunity provided by the extended warranty for the buyer as well as for the manufacturer. The total average cost incurred by each side during the product's life cycle is expressed in order to determine the maximum extra cost the consumer should pay and the minimum price at which the manufacturer should sell the extended warranty. This is done under different options in terms of maintenance strategies adopted during the product's lifecycle.