Question: Q5) Economic Order Quantity (EOQ) and Reorder Point (ROP) with Inventory Visualization A retailer sells a product with a steady annual demand of 10,000 units.
Q5) Economic Order Quantity (EOQ) and Reorder Point (ROP) with Inventory Visualization A retailer sells a product with a steady annual demand of 10,000 units. The company operates 250 days per year. The cost of placing an order is $100, and the annual holding cost per unit is $10. The lead time for receiving an order is 4 days. To optimize inventory management, the retailer uses the Economic Order Quantity (EOQ) model and calculates the Reorder Point (ROP) to determine when to place orders. The EOQ formula is: EOQ=sqrt((2DS)/(H)) Where: D= Annual demand (units/year) S= Ordering cost per order (dollars) H= Holding cost per unit per year (dollars) The Reorder Point (ROP) is calculated as: ROP=d xx L Where: d= Daily demand (units/day) L= Lead time (days) A) Calculate the Reorder Point (ROP) for the product. First, calculate the EOQ to determine the optimal order quantity, then find the daily demand and use it to compute the ROP. Show all steps clearly. B) Draw a labeled inventory cycle graph to represent the inventory system based on the EOQ and ROP. Your diagram should: Indicate the EOQ and ROP on the vertical axis. Show how inventory levels decrease over time until the reorder point is reached, accounting for lead time before replenishment. Label the order interval, lead time, and clearly mark the reorder point in the cycle.
Step by Step Solution
There are 3 Steps involved in it
Get step-by-step solutions from verified subject matter experts
