| A drug store operates an in-store printing service for customers with digital cameras. The current service, which requires employees to download photos from customer cameras, has monthly operating costs of $7,500 plus $0.10 per photo printed. Management is considering the acquisition of a machine that allows customers to download and make prints without employee assistance. If the machine is acquired, monthly fixed costs will increase to $11,000 and the variable cost per photo will decrease to $0.04 per photo. | |||||
| Required | |||||
| 1. In general, briefly describe variable, fixed, and mixed costs and explain how, as activity increases, the cost function changes for each type of cost. | |||||
| 2. Determine the total costs of printing 50,000 and 75,000 photos per month using the employee-assisted process and the self-service process | |||||
| 3. Determine the monthly volume at which the proposed process becomes preferable to the current process | |||||
In the modern business landscape, understanding the intricacies of costs is crucial for making informed decisions. Cost structures are divided into variable, fixed, and mixed costs, each of which plays a vital role in the financial dynamics of a business. The evolution of these costs as activity increases influences a company’s profitability and strategic choices.
Variable Costs
refer to expenses that fluctuate in direct proportion to the level of activity or output. In the context of the drug store’s in-store printing service, the variable cost is the cost per printed photo, which is $0.10 in the employee-assisted process and $0.04 in the self-service process. As the volume of photos printed increases, variable costs rise linearly. In mathematical terms, variable costs = cost per unit * quantity. Therefore, the more photos printed, the higher the variable costs incurred.
Fixed Costs
are expenses that remain constant regardless of the level of activity. For the drug store, the fixed cost includes the monthly operating costs, which are $7,500 in the employee-assisted process and $11,000 in the self-service process. These costs do not change as the number of photos printed varies. As a result, fixed costs per unit decrease as activity increases. Fixed costs are a foundational component of a business’s cost structure, providing a baseline that must be covered before any profit is achieved.
As the name suggests, mixed Costs are a combination of variable and fixed costs. They contain elements that remain constant (fixed) and those that vary with activity (variable). The total mixed cost is the sum of both components. In the context of the drug store, mixed costs would include the monthly operating costs plus the cost per printed photo. As activity increases, the fixed portion of mixed costs remains constant, while the variable portion increases proportionally.
Cost Function Changes with Activity:
Variable Costs: Increase linearly with activity. As more photos are printed, variable costs also rise proportionally.
Fixed Costs: Remain constant regardless of activity. However, fixed costs per unit decrease as activity increases, spreading the fixed costs over a larger output.
Mixed Costs: The fixed portion remains constant, and the variable portion increases as activity increases. The total mixed costs therefore increase but at a slower rate than variable costs alone.
Cost Comparison: To determine the total costs of printing 50,000 and 75,000 photos per month using both processes:
For 50,000 photos:
Preferable Process
To find the monthly volume at which the proposed process becomes preferable, compare the total costs of both processes at different activity levels. Identify the point where the self-service process’s total cost becomes lower than the employee-assisted process’s total cost. This volume marks the threshold where the new process becomes more cost-effective.
In conclusion, comprehending variable, fixed, and mixed costs is essential for effective decision-making in business operations. As activity levels change, these cost components interact to influence the overall cost structure. Through a thorough analysis of the total costs associated with different activity levels, businesses can make informed choices about process optimization, cost reduction, and ultimately, enhanced profitability.
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