Final answer:
Luther Corporation's operating margin for the year ending December 31, 2005, is calculated by dividing the Operating Income by Total Sales for that year. After the calculation, the operating margin for 2005 is 27.49%, which corresponds with option C.
Step-by-step explanation:
To calculate Luther Corporation's operating margin for the year ending December 31, 2005, we need to divide the Operating Income by the Total Sales for that year, and then multiply by 100 to get the percentage. The Operating Income for 2005 was 159.1 million dollars and the Total Sales were 578.8 million dollars.
The formula for operating margin is:
Operating Margin = (Operating Income / Total Sales) × 100
Now let's calculate it:
Operating Margin = (159.1 / 578.8) × 100
Operating Margin = 0.2748495 × 100
Operating Margin = 27.49%
The closest answer is 27.49%, which is option C.