Final answer:
The current ROI of Morton Division is 14%. An increase in sales by 10% would lead to an ROI of 15%, reducing fixed costs by 25% would result in an ROI of 16.5%, and reducing operating assets by 20% would yield an ROI of 17.5%.
Step-by-step explanation:
To compute the return on investment (ROI) of Morton Division of Bates Manufacturing Company for the current year, we need to subtract total costs (variable costs plus fixed costs) from sales and then divide by average operating assets:
ROI = (Sales - Variable costs - Controllable fixed costs - Noncontrollable fixed costs) / Average operating assets
For the current year, the ROI calculation would be as follows:
ROI = ($3,000,000 - $1,800,000 - $200,000 - $300,000) / $5,000,000
ROI = ($700,000) / $5,000,000
ROI = 0.14 or 14%
Next, we'll compute ROI under each alternative:
1. Increase sales by 10%:
New Sales = $3,000,000 * 1.1 = $3,300,000
New ROI = ($3,300,000 - $1,800,000 - $200,000 - $300,000) / $5,000,000 = 0.15 or 15%
2. Reduce controllable and noncontrollable fixed costs by 25% each:
New Controllable Fixed Costs = $200,000 * 0.75 = $150,000
New Noncontrollable Fixed Costs = $300,000 * 0.75 = $225,000
New ROI = ($3,000,000 - $1,800,000 - $150,000 - $225,000) / $5,000,000 = 0.165 or 16.5%
3. Reduce average operating assets by 20%:
New Average Operating Assets = $5,000,000 * 0.8 = $4,000,000
New ROI = ($3,000,000 - $1,800,000 - $200,000 - $300,000) / $4,000,000 = 0.175 or 17.5%