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Optimal Price and Protection Period Decisions for a Product Under Warranty

Author

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  • Theodore S. Glickman

    (Boston University)

  • Paul D. Berger

    (Boston University)

Abstract

This paper proposes and analyzes a model for maximizing the profit of a product sold under warranty. The decision variables assumed in the model are the price of the product and the length of the period throughout which the manufacturer is responsible for service. The paper focuses on the dependence of optimal profit on price and protection period for a realistic and general description of a warrantied product. Failures are stochastic and repairs are of constant cost. Demand depends exponentially on price and warranty duration. After an introduction and literature review, the basic model is presented and assumptions are made about the particular probability law governing product failures. The optimization procedure is then illustrated for certain values of input parameters. Finally, an extensive economic analysis of the sensitivity of the optimal solution to variations in input parameters is provided.

Suggested Citation

  • Theodore S. Glickman & Paul D. Berger, 1976. "Optimal Price and Protection Period Decisions for a Product Under Warranty," Management Science, INFORMS, vol. 22(12), pages 1381-1390, August.
    • Handle: RePEc:inm:ormnsc:v:22:y:1976:i:12:p:1381-1390
    DOI: 10.1287/mnsc.22.12.1381
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