Final answer:
To find the margin that Largo Company needed to earn in order to achieve an ROI of 53.8%, first calculate the net operating income and then use it to determine the margin. The margin is 14.94%. Therefore, the correct option is A.
Step-by-step explanation:
To find the margin that Largo Company needed to earn in order to achieve an ROI of 53.8%, we first need to calculate the net operating income. We can use the formula:
Net Operating Income = ROI * Average Operating Assets
Plugging in the values, we get:
Net Operating Income = 0.538 * $270,000 = $145,260
Next, we can calculate the margin using the formula:
Margin = Net Operating Income / Sales
Plugging in the values, we get:
Margin = $145,260 / $972,000 = 0.1494 = 14.94%
Therefore, the margin that Largo Company needed to earn in order to achieve an ROI of 53.8% is 14.94%.