Paper Title
Inventory Model for Deteriorating Item with Advertising and Quantity Discount Policies

Abstract
In present article an inventory model is developed for deteriorating item. In which the deterioration rate is constant and the demand function is treated as linear function of advertising frequency and the selling price. The concept of quantity discounts is also incorporated to enhance the demand. The cost for holding the inventory is considered as a linear function of time and purchase cost. The optimal values of total cost function and its decision variable like selling price, total cycle length and advertising frequency are calculated. The numerical verification and the convexity of model is also presented in this paper. The calculation part is carried out with the help of mathematical software Mathematica11. Keywords - Deterioration, Advertisement, Quantity Discounts, Selling Price.