Final answer:
To achieve a Return on Investment (ROI) of 28.8% with average operating assets of $259,000, the margin Largo Company needed was 18.00%.
Step-by-step explanation:
To calculate the margin that Largo Company needed to achieve a Return on Investment (ROI) of 28.8%, we use the formula for ROI, which is:
ROI = (Net Operating Profit / Average Operating Assets) × 100
We have the ROI (28.8%) and the average operating assets ($259,000), but we need to find the Net Operating Profit. Let's rearrange the formula to solve for it:
Net Operating Profit = (ROI × Average Operating Assets) / 100
Net Operating Profit = (28.8% × $259,000) / 100
Net Operating Profit = $74,592
Now, to find the margin (Net Operating Profit/Sales), we plug in the Net Operating Profit and the sales:
Margin = (Net Operating Profit / Sales) × 100
Margin = ($74,592 / $414,400) × 100
Margin = 18.00%
Therefore, the correct option is A. 18.00%.