Abstract
This paper deals with the problem of determining optimal credit period and production lot size from the perspective of producer. We assume that a ratailer jointly determines the unit retail price and order size to maximize profit when he/she puechases a product for which the producer offers a trade credit. Two widely used demand functions are adopted for the study in which demands are decreasing function of the retail price. Mathematical models for producer-retailer system are developed and a solution procedure is presented which show how to achieve an optimal length of trade credit and production lot size for producer. The effect of production rate on the behavior of both producer and retailer is also investigated using an example.