There are a lot of inventory models for deteriorating items; see, e.g. reviews by Raafat et al. (1991), Goyal and Giri (2001), Bakker et al. (2012). The most recent review is written by Janssen et al. (2016), where the authors pointed out that the problem of waste reduction should be given more attention in future research. Reducing of waste generation is a great way to reduce our impact on the environment. Options for waste reduction have a high priority, since waste disposal can be expensive and can cause environmental problems; see, for example, Curran and Williams (2012). Price-setting inventory models with deterioration are considered in various settings in recent years; see for details Janssen et al. (2016). A deteriorating inventory model with price-dependent demand was first investigated by Eilon and Mallaya (1966). Cohen (1977) was one of the first to consider pricing and inventory decision for an exponentially decaying inventory under deterministic demand.