This paper presents an exponential time-varying demand production-inventory mode for deteriorating items with variable lost sale factor and backlogging rates relative to the inventory level and production stages during shortage period. The unique optimal solution is found by Mathematica 5.0. It is proved that service level and deteriorating rate have a greater impact on inventory total cost than demand increasing factor and lost sale factor by sensitivity analysis. The factors must be considered for inventory decision-making of production enterprises.