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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.

Question:

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.

This is AI generated Response.
Asked by: Test User 100252
Created at: 2025-05-21 12:10:00

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Let's solve the **Calculation-Based Subpart** first, step by step. --- ## **(a) Calculation-Based Subpart** ### **1. Calculate the Economic Order Quantity (EOQ)** The EOQ formula is: \[ EOQ = \sqrt{\frac{2DS}{H}} \] Where: - \( D \) = Annual demand = **24,000 units** - \( S \) = Ordering cost per order = **$150** - \( H \) = Holding cost per unit per year = **$3** **Substitute the values:** \[ EOQ = \sqrt{\frac{2 \times 24,000 \times 150}{3}} \] Calculate the numerator: \[ 2 \times 24,000 \times 150 = 7,200,000 \] Divide by \( H \): \[ \frac{7,200,000}{3} = 2,400,000 \] Take the square root: \[ EOQ = \sqrt{2,400,000} \approx 1,549 \text{ units} \] --- ### **2. Calculate the Reorder Point (ROP)** The ROP formula is: \[ ROP = (\text{Daily Demand} \times \text{Lead Time}) + \text{Safety Stock} \] Where: - Daily Demand = **80 units** - Lead Time = **5 days** - Safety Stock = **200 units** **Substitute the values:** \[ ROP = (80 \times 5) + 200 = 400 + 200 = 600 \text{ units} \] --- ### **Final Answers** - **EOQ:** \( \boxed{1,549 \text{ units}} \) - **ROP:** \( \boxed{600 \text{ units}} \) --- ## **(b) Flowchart-Based Subpart** Below is a step-by-step description for the flowchart you can draw (use boxes and arrows): 1. **Start Inventory Monitoring** 2. **Continuously Track Stock Levels** 3. **Is Current Inventory ≤ ROP?** (Decision Point) - **No:** - Continue Monitoring (arrow loops back to "Track Stock Levels") - **Yes:** - Trigger Purchase Order for EOQ units - Wait for Delivery - Inventory Replenishment Upon Delivery - Return to Monitoring Phase **Flowchart Structure:** ``` [Start Monitoring] ↓ [Track Stock Levels] ↓ [Is Inventory ≤ ROP?] --No--> [Track Stock Levels] (loop) | Yes ↓ [Trigger EOQ Order] ↓ [Wait for Delivery] ↓ [Replenish Inventory] ↓ [Return to Monitoring] ``` --- ## **Summary Table** | Step | EOQ Calculation | ROP Calculation | |---------------|-------------------------|---------------------------| | Formula | \( \sqrt{\frac{2DS}{H}} \) | \( (\text{Daily Demand} \times \text{Lead Time}) + \text{Safety Stock} \) | | Substitute | \( \sqrt{\frac{2 \times 24,000 \times 150}{3}} \) | \( (80 \times 5) + 200 \) | | Answer | **1,549 units** | **600 units** | --- If you need a **drawn flowchart**, let me know and I can generate a diagram for you!

Question:

i need 2 lines pure theory

This is AI generated Response.
Asked by: Test User 100252
Created at: 2025-05-21 12:25:53

Final Answer:

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The inventory control process using the EOQ model involves continuously monitoring stock levels and replenishing inventory when it reaches the Reorder Point (ROP). This systematic approach helps balance ordering costs and holding costs to optimize stock management and prevent stockouts during lead time.

Question:

i neec only all final answers

This is AI generated Response.
Asked by: Test User 100252
Created at: 2025-05-21 12:26:42

Final Answer:

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**Final Answers:** - **Economic Order Quantity (EOQ):** **1,549 units** - **Reorder Point (ROP):** **600 units**

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