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Supply-chain effects on total relevant inventory cost. Peach Computer Co. outsources the production of motherboards for its computers. It is currently deciding which of two suppliers to use: Alpha or Beta. Due to differences in the product failure rates in the two companies, \(5 \%\) of motherboards purchased from Alpha will be inspected and \(25 \%\) of motherboards purchased from Beta will be inspected. The following data refer to costs associated with Alpha and Beta: 1\. What is the relevant cost of purchasing from Alpha and Beta? 2\. What factors other than cost should Peach consider?

Short Answer

Expert verified
The relevant cost of purchasing from Alpha and Beta can be calculated using these formulas: For Alpha: \(T_A = xC_A + 0.05xI_A\) For Beta: \(T_B = xC_B + 0.25xI_B\) where \(x\) represents the quantity of motherboards purchased, \(C_A\) and \(C_B\) represent the cost per motherboard from Alpha and Beta, respectively, and \(I_A\) and \(I_B\) represent the inspection cost per motherboard from Alpha and Beta, respectively. Additionally, Peach should consider factors such as quality and reliability of the motherboards, delivery time, lead time, customer support, scalability of production, reputation of the suppliers and any existing relationships. These considerations, along with the cost calculation, should inform the final decision.

Step by step solution

01

Understand the problem

We are trying to find the total relevant cost of purchasing motherboards from Alpha and Beta. We know the percentage of motherboards that need to be inspected for each supplier and the costs associated with these inspections.
02

Calculate the total cost of purchasing from Alpha

Peach needs to inspect \(5\%\) of motherboards from Alpha. Let's assume they are buying x units of motherboards. So, \(0.05x\) motherboards need to be inspected. Let's say the cost per motherboard from Alpha is \(C_A\), and the inspection cost per motherboard is \(I_A\). Now we can calculate the total cost of purchasing x units of motherboards from Alpha: Total cost from Alpha = Cost of motherboards + Cost of inspection \(T_A = xC_A + 0.05xI_A\)
03

Calculate the total cost of purchasing from Beta

Similarly, Peach needs to inspect \(25\%\) of motherboards from Beta. Again, assuming they are buying x units of motherboards, \(0.25x\) motherboards need to be inspected. Let's say the cost per motherboard from Beta is \(C_B\), and the inspection cost per motherboard is \(I_B\). Now we can calculate the total cost of purchasing x units of motherboards from Beta: Total cost from Beta = Cost of motherboards + Cost of inspection \(T_B = xC_B + 0.25xI_B\)
04

Identify factors other than cost

Now that we calculated the total cost for purchasing from Alpha and Beta, we should also consider other factors that might impact the decision, such as: 1. Quality and reliability of the motherboards 2. Delivery time and logistics of each supplier 3. Lead time of each supplier 4. Client support and service from each supplier 5. Flexibility of suppliers, such as their ability to scale production 6. Reputation of the suppliers 7. Any previous or existing relationship between Peach and suppliers In conclusion, to find the relevant cost of purchasing from Alpha and Beta, we first calculate the total cost for each supplier, considering the cost per motherboard and inspection cost. After that, we must consider other factors that might affect the decision, like quality, reliability, and delivery time, among others. These factors should be weighed together with the cost when making the final decision.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Cost Accounting
Cost accounting plays a pivotal role in business decisions, especially when it comes to managing expenses related to procurement and inventory. In the context of Peach Computer Co.'s decision between two suppliers, Alpha and Beta, cost accounting enables the calculation of the total relevant cost for purchasing motherboards. This includes the direct costs of acquiring the motherboards and the indirect costs of inspection based on failure rates.

Understanding the cost structure is vital. For Alpha, with a lower inspection rate due to a presumably better quality, the overall expense might be less, even if the unit cost is higher. Conversely, for Beta, a lower unit cost could be offset by higher inspection rates, leading to increased labor and possibly downtime costs. The exercise demonstrates how detailed cost calculations must factor in all associated expenses to accurately reflect the true cost, highlighting the depth of analysis required in cost accounting.
Supplier Selection
Supplier selection is more than just a cost-based decision; it requires a holistic approach. Peach Computer Co. must evaluate suppliers on multiple dimensions like cost structure, inspection rates, quality, reliability, and other service-related aspects.

For instance, while the exercise focuses on inspection costs and failure rates, the broader supplier selection process would involve an in-depth analysis of suppliers' industry reputation, the flexibility of supply chain management, the capacity to handle volume changes, and their adherence to delivery schedules. A supplier that can offer bulk discounts or expedited shipping might present an ideal long-term partnership, even if the immediate costs appear higher. The challenge for Peach Computer Co. will be to balance these factors against their specific business needs and the total value a supplier can provide.
Quality and Reliability

Importance of Quality

Quality and reliability are crucial components of the supply chain and directly impact customer satisfaction. In the exercise, the difference in product failure rates between Alpha and Beta is a significant variable. For Peach Computer Co., prioritizing a supplier with lower failure rates might equate to fewer customer complaints and returns, which could save costs and enhance the brand's reputation in the long run.

Balance with Cost

While selecting a supplier offering higher quality and reliability might seem straightforward, it must be balanced with the costs incurred. It's essential to determine if the premium paid for higher quality translates into a substantial return on investment. The long-term view should assess how quality issues might affect warranty claims, the cost of service, or the need for additional support staff.
Inventory Management
Efficient inventory management is essential for minimizing costs while ensuring that the production process is not disrupted due to shortages. For Peach Computer Co., the inspection process significantly ties into inventory turnover, as motherboards that do not pass inspection might lead to stockouts or delays.

The decision between Alpha and Beta must consider how their failure rates affect inventory levels. If Beta has a higher failure rate, Peach might need to keep more stock to buffer against these failures. This requires additional space and capital, which are cost factors that must be weighed in. On the other hand, with Alpha's lower inspection and failure rate, Peach can potentially maintain a leaner inventory, reduce holding costs, and improve cash flow. Inventories must be managed dynamically to align with supplier selection and the overarching strategy of the company.

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Most popular questions from this chapter

Backflush costing, two trigger points, materials purchase and sale (continuation of \(20-27\) ). Assume the same facts as in Exercise \(20-27\), except that Grand Devices now uses a backflush costing system with the following two trigger points for making entries in the accounting system: \(\cdot\) Purchase of direct materials \(\cdot\) Sale of finished goods The Inventory Control account will include direct materials purchased but not yet in production, materials in work in process, and materials in finished goods but not sold. No conversion costs are inventoried. Any under- or overallocated conversion costs are written off monthly to cost of Goods Sold. 1\. Prepare summary journal entries for August, including the disposition of under- or overallocated conversion costs. 2\. Post the entries in requirement 1 to \(T\) -accounts for Inventory Control, Conversion costs Control, Conversion costs Allocated, and cost of Goods Sold

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Name six cost categories that are important in managing goods for sale in a retail company.

MRP, EOQ, and JIT. Tech Works Corp. produces J-Pods, music players that can download thousands of songs. Tech Works forecasts that demand in 2017 will be 48,000 J-Pods. The variable production cost of each J-Pod is \$54. ln its MRP system, due to the large \$10,000 cost per setup, Tech Works plans to produce J-Pods once a month in batches of 4,000 each. The carrying cost of a unitin inventory is S17 per year. 1\. Using the MRP system, what tis the annual cost of producing and carrying J-Pods in inventory? (As sume that, on average, half of the units produced in a month are in inventory. 2\. A new manager at Tech Works has suggested that the company use the E00 model to determine the optimal batch size to produce. (To use the E00 model, Tech Works needs to treat the setup cost in the same way itwould treat ordering costin a traditional E0 model., J Determine the optimal batch size and number of batches. Round up the number of batches to the nearest whole number. What would be the annual cost of producing and carrying J-Pods in inventory if it uses the optimal batch size? Compare this costto the cost calculated in requirement 1 . Comment briefly 3\. Tech Works is also considering switching from its MRP system to a JIT system. This will result in producing J-Pods in batch sizes of 600 J.Pods and will reduce obsolescence, improve quality, and result in a higher selling price. Tech Works will reduce setup time and setup cost. The new setup cost will be \(\$ 500\) per setup. Whatis the annual cost of producing and carrying J-Pods in inventory under the JIT system? 4\. Compare the models analyzed in the previous parts of the problem. What are the advantages and dis advantages of each?

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