In today's highly competitive business market, the issues of pricing and inventory control are very important, and they should be jointly optimized, especially in the case of deteriorating products. In addition, some strategies should be considered that increase the profit of the supplier and the retailer simultaneously. Trade credit based on order quantity is a strategy by which the supplier can encourage the retailer to order larger quantities. On the other hand, the retailer can significantly increase his profit by taking advantage of more trade credit periods. This research investigates the problem of joint inventory control and pricing for non-instantaneous deteriorating products; while, the quantity dependent trade credit is allowed. It is observed here that the buyer order amount is equal or more than the amount specified by the seller. The Shortage is not permitted in the system. It is aimed in present study to find a procedure for achieving the optimal selling price and replenish cycle and to be able to maximize the system's profit. To do so, first, the system's total profit function is derived. Then, the uniqueness of the optimal replenishment cycle for a given price is proved. Next, the concavity of the total profit function concerning the price is revealed, depending on the trade credit policy. Thereafter, an algorithm is provided to fulfill the optimal solution and eventually a dual-purpose numerical analysis was carried out both to show the model performance and to evaluate the sensitivity of the main parameters.
