Effect Of Management Evaluation Criteria On EOQ Model
Effect of management evaluation criteria on EOQ model
Create a Powerpoint presentation(4-5 slides) that answers the four questions included at the end of the case below and provides your solutions. (3 recent references) 20-28 Effect of management evaluation criteria on EOQ model. Computer Depot purchases one model of computer at a wholesale cost of $300 per unit and resells it to end consumers. The annual demand for the company’s product is 600,000 units. Ordering costs are $1,200 per order and carrying costs are $75 per computer, including $30 in the opportunity cost of holding inventory. 1. Compute the optimal order quantity using the EOQ model. 2. Compute (a) the number of orders per year and (b) the annual relevant total cost of ordering and carrying inventory. 3. Assume that when evaluating the manager, the company excludes the opportunity cost of carrying inventory. If the manager makes the EOQ decision excluding the opportunity cost of carrying inventory, the relevant carrying cost would be $45, not $75. How would this affect the EOQ amount and the actual annual relevant cost of ordering and carrying inventory? 4. What is the cost impact on the company of excluding the opportunity cost of carrying inventory when making EOQ decisions? Why do you think the company currently excludes the opportunity costs of carrying inventory when evaluating the manager’s performance? What could the company do to encourage the manager to make decisions more congruent with the goal of reducing total inventory costs?
Paper For Above instruction
Introduction
In inventory management, the Economic Order Quantity (EOQ) model serves as a fundamental tool for optimizing order quantities to minimize total inventory costs. This paper examines the impact of management evaluation criteria on EOQ decision-making within Computer Depot, a company that sells computers with a high annual demand. Specifically, it analyzes how the omission of opportunity costs influences EOQ calculations and overall cost efficiency, illustrating the importance of comprehensive cost considerations in managerial decisions.
1. Calculation of the Optimal EOQ
The EOQ model formula is expressed as:
EOQ = √(2DS / H)
Where:
- D = annual demand = 600,000 units
- S = ordering cost per order = $1,200
- H = annual holding cost per unit = $75
Substituting the known values:
EOQ = √(2 600,000 1,200 / 75) = √(1,440,000,000 / 75) = √19,200,000 ≈ 4,383 units
Thus, the optimal order quantity is approximately 4,383 units, balancing ordering and holding costs for maximum efficiency.
2. Number of Orders per Year and Total Inventory Costs
The number of orders annually is:
Number of orders = D / EOQ = 600,000 / 4,383 ≈ 137 orders
The total relevant costs comprise ordering costs and inventory holding costs:
- Annual ordering cost = number of orders S = 137 $1,200 ≈ $164,400
- Average inventory = EOQ / 2 ≈ 2,191.5 units
- Annual carrying cost = average inventory H = 2,191.5 $75 ≈ $164,363
Total relevant inventory cost = ordering cost + carrying cost ≈ $164,400 + $164,363 ≈ $328,763
3. Impact of Excluding Opportunity Cost on EOQ and Costs
If the company excludes opportunity costs, the relevant carrying cost reduces from $75 to $45. The revised EOQ becomes:
H_new = $45
EOQ_new = √(2 600,000 1,200 / 45) = √(1,440,000,000 / 45) ≈ √32,000,000 ≈ 5,657 units
This larger EOQ indicates the manager would order more units per order due to the lower perceived holding costs, leading to fewer orders annually:
Orders per year = 600,000 / 5,657 ≈ 106
Revised annual costs:
- Ordering: 106 * $1,200 ≈ $127,200
- Average inventory: 2,828.5 units
- Carrying cost: 2,828.5 * $45 ≈ $127,283
- Total: ≈ $254,483
The exclusion of opportunity costs results in a higher EOQ and a reduced total inventory cost, but it neglects the true cost of capital and inventory holding.
4. Cost Impact and Managerial Incentives
Excluding opportunity costs from EOQ calculations can lead to suboptimal inventory decisions, potentially increasing total costs when considering the full economic impact. The company might favor such exclusions to simplify performance evaluations, potentially incentivizing managers to order larger quantities and reduce perceived costs, although this conflicts with overall cost efficiency.
To align managerial decisions with the company's cost reduction objectives, the company should incorporate opportunity costs into evaluation criteria. This approach promotes optimal EOQ determination, balancing purchase, holding, and capital costs, ultimately reducing total inventory expenses. Implementing performance metrics that explicitly account for opportunity costs would incentivize managers to make more economically sound decisions and foster a culture of cost consciousness.
Conclusion
The analysis demonstrates that excluding opportunity costs from the EOQ model significantly influences order quantities and total costs. Incorporating comprehensive costs, including opportunity costs, is essential for sound inventory management and cost optimization. Managers must be evaluated on metrics that reflect true inventory costs to encourage decisions that align with organizational goals of minimizing total expenses.
References
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