Abstract

In this paper, an inventory models has been developed for introducing a new product in the market involving different costs. The demand is assumed as exponentially increasing and production is demand dependent. This proposed model a constant amount was invested for the advertisement to increase demand for new products. A mathematical model is developed by using differential equations. The objective of this model is to find the total cost and to minimize the total cost. The model is illustrated by numerical examples and sensitivity analysis of optimal solution with respect to parameters.

Keywords and Phrases

Inventory model, deterioration, advertisement, Total Cost (TC), Economic order quantity (EOQ).

A.M.S. subject classification

90B05.

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