Economic order quantity (EOQ) is one of the most important inventory policy that have to be decided
in managing an inventory system. The problem addressed in this paper concerns with the decision of the optimal
replenishment time for ordering an EOQ to a supplier. This Model is captured the affect of stock dependent
selling rate and varying price. We developed an inventory model under varying of demand-deterioration-price of
commodity when the relationship of supplier-grocery-consumer at stochastic environment. The replenishment
assumed instantaneous with zero lead time. The commodity will decay of quality according to the original
condition with randomize characteristics. First, the model is addressed to solve a problem phenomenon how long
is the optimum length of cycle time. Then, an EOQ of commodity to be ordered by will be determined by model.
To solve this problem, the first step is developed a mathematical model based on reference’s model, and then
solve the model analytically. Finally, an inventory model for deteriorating commodity under stock dependent
selling rate and considering selling price was derived by this research.
Keywords: deterioration commodity, expected profit, optimal replenishment time stock dependent selling rate
