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Give step-by-step solution with explanation and final answer:Horizon Electronics is a regional distributor supplying various electronic components to retail and service partners across the Midwest. One of their most critical products is a precision temperature sensor, referred to as Product X, which experiences stable and predictable demand throughout the year. Horizon's central warehouse handles the inventory for this item. The operations team has been directed to optimize inventory management for Product X due to increased carrying costs and occasional stockouts. The company currently uses a continuous review system and wishes to maintain sufficient buffer inventory to handle uncertainty during the lead time. The following data is available for Product X: + Annual demand (D): 24,000 units + Ordering cost (S): $150 per order + Holding cost (H): $3 per unit per year + Daily demand: 80 units + Lead time: 5 working days * Operating days per year: 300 days + Safety stock: 200 units Task The operations team needs to determine the optimal ordering policy using the Economic Order Quantity (EOQ) model and calculate the appropriate Reorder Point (ROP) to avoid stockouts during lead time. (b) Flowchart-Based Subpart Draw a flowchart that illustrates the inventory control process for Product X using the EOQ model. The flowchart should include: + Start of inventory monitoring + Continuous tracking of stock levels + Decision point for comparing current inventory to the ROP «Triggering an order if inventory reaches or falls below the ROP «Inventory replenishment upon delivery «Return to monitoring phase Ensure the flowchart is labeled clearly and shows the logical sequence of decisions and actions involved in managing Product X's inventory. (a) Calculation-Based Subpart Using the data provided: 1. Calculate the Economic Order Quantity (EOQ) using the EOQ formula: 2DS 0-3 2. Calculate the Reorder Point (ROP) by considering lead time demand and safety stock: ROP = (Daily Demand x Lead Time) + Safety Stock Provide the final EOQ and ROP values with appropriate units and clearly show your working steps.

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Give step-by-step solution with explanation and final answer:Uploaded ImageUploaded ImageUploaded ImageHorizon Electronics is a regional distributor supplying various electronic components to retail and service partners across the Midwest. One of their most critical products is a precision temperature sensor, referred to as Product X, which experiences stable and predictable demand throughout the year. Horizon's central warehouse handles the inventory for this item. The operations team has been directed to optimize inventory management for Product X due to increased carrying costs and occasional stockouts. The company currently uses a continuous review system and wishes to maintain sufficient buffer inventory to handle uncertainty during the lead time. The following data is available for Product X: + Annual demand (D): 24,000 units + Ordering cost (S): $150 per order + Holding cost (H): $3 per unit per year + Daily demand: 80 units + Lead time: 5 working days * Operating days per year: 300 days + Safety stock: 200 units Task The operations team needs to determine the optimal ordering policy using the Economic Order Quantity (EOQ) model and calculate the appropriate Reorder Point (ROP) to avoid stockouts during lead time. (b) Flowchart-Based Subpart Draw a flowchart that illustrates the inventory control process for Product X using the EOQ model. The flowchart should include: + Start of inventory monitoring + Continuous tracking of stock levels + Decision point for comparing current inventory to the ROP «Triggering an order if inventory reaches or falls below the ROP «Inventory replenishment upon delivery «Return to monitoring phase Ensure the flowchart is labeled clearly and shows the logical sequence of decisions and actions involved in managing Product X's inventory. (a) Calculation-Based Subpart Using the data provided: 1. Calculate the Economic Order Quantity (EOQ) using the EOQ formula: 2DS 0-3 2. Calculate the Reorder Point (ROP) by considering lead time demand and safety stock: ROP = (Daily Demand x Lead Time) + Safety Stock Provide the final EOQ and ROP values with appropriate units and clearly show your working steps.

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Asked by: Test User 100252
Created at: 2025-05-21 10:38:45

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Let's solve both the calculation-based and flowchart-based subparts step-by-step as required. --- ## **(a) Calculation-Based Subpart** ### **1. Calculate Economic Order Quantity (EOQ)** **EOQ Formula:** \[ EOQ = \sqrt{\frac{2DS}{H}} \] Where: - \( D = \) Annual demand = **24,000 units** - \( S = \) Ordering cost per order = **$150** - \( H = \) Holding cost per unit per year = **$3** **Plug in the values:** \[ EOQ = \sqrt{\frac{2 \times 24,000 \times 150}{3}} \] Calculate inside the square root first: \[ 2 \times 24,000 \times 150 = 7,200,000 \] \[ \frac{7,200,000}{3} = 2,400,000 \] \[ EOQ = \sqrt{2,400,000} \] Calculate the square root: \[ EOQ \approx 1,549 \text{ units (rounded to nearest unit)} \] --- ### **2. Calculate Reorder Point (ROP)** **ROP Formula:** \[ ROP = (\text{Daily Demand} \times \text{Lead Time}) + \text{Safety Stock} \] Where: - Daily Demand = **80 units** - Lead Time = **5 days** - Safety Stock = **200 units** Calculate the lead time demand: \[ \text{Lead Time Demand} = 80 \times 5 = 400 \text{ units} \] Add the safety stock: \[ ROP = 400 + 200 = 600 \text{ units} \] --- ### **Final Answers (with units):** - **EOQ:** **1,549 units** - **ROP:** **600 units** --- ## **(b) Flowchart-Based Subpart** Below is a **step-by-step description** for the flowchart. You can also draw it using flowchart symbols as described: 1. **Start Inventory Monitoring** 2. → **Continuously Track Stock Levels** 3. → **Decision: Is Current Inventory ≤ ROP?** - **NO:** → Go back to **Track Stock Levels** - **YES:** → **Trigger Purchase Order of EOQ Amount** 4. → **Wait for Delivery (Lead Time)** 5. → **Receive Inventory (Replenishment)** 6. → **Return to Inventory Monitoring** --- ### **Text Flowchart Representation:** ``` [Start Inventory Monitoring] ↓ [Track Stock Levels Continuously] ↓ [Is Inventory ≤ ROP?] ———— No ———→ [Continue Tracking] | Yes ↓ [Place Order for EOQ Quantity] ↓ [Wait for Delivery] ↓ [Receive Inventory] ↓ [Return to Inventory Monitoring] ``` --- ### **Summary Table** | Parameter | Value | Units | |-----------------------------|---------------|---------------| | EOQ | 1,549 | units | | ROP | 600 | units | --- **You now have the step-by-step calculations, explanation, and a ready-to-draw flowchart for the inventory control process! If you need a digital flowchart illustration, let me know!**

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