Final answer:
The company needed to earn approximately $1,958,571.43 in sales revenue to achieve a 65% gross margin on its COGS of $685,500.
Step-by-step explanation:
To determine the amount of revenue needed for a business to achieve a certain gross margin on its cost of goods sold (COGS), you must divide the COGS by one minus the gross margin percentage. In this case, Work It Out requires a 65% gross margin on its products.
To calculate the necessary revenue, we use the formula:
Revenue = COGS / (1 - Gross Margin)
Plugging in the numbers:
Revenue = $685,500 / (1 - 0.65)
Revenue = $685,500 / 0.35
Revenue = $1,958,571.43
Therefore, Work It Out needed to earn approximately $1,958,571.43 in sales revenue to achieve the 65% gross margin on its COGS of $685,500.