Exponentially backlogged shortage inventory model for deteriorating item with linear selling price of the product

This paper deals with an inventory model for deteriorating items with linear price and frequency of advertisement dependent demand and exponentially backlogged shortages. The deterioration rate follows three-parameter Weibull distribution. The corresponding non-linear problem have been formulated and solved. Numerical example has been considered to illustrate the model and the significant features of the result are discussed. Finally, we have performed the sensitivity analysis taking one or more parameters at a time.