Final answer:
Without the total revenue or the cost of goods sold, we are unable to calculate the gross profit percentage from the information provided. More financial details are required to answer this question correctly.
Step-by-step explanation:
To determine the gross profit percentage, we need to know the difference between the revenue that a company earns from selling its products and the cost of those products to the company (Cost of Goods Sold - COGS). The formula to calculate the gross profit percentage is:
Gross Profit Percentage = (Gross Profit / Total Revenue) × 100%
However, based on the information provided, we do not have the total revenue or the COGS to directly calculate the gross profit percentage. Nevertheless, you mentioned a profit-maximizing output level and an amount of profits made which is $40, but this information alone is insufficient to calculate the gross profit percentage without additional context such as total revenue or COGS.
To properly answer the question regarding the closest gross profit percentage, more financial details involving the selling price and the cost of goods sold are required. Examples of different gross profit percentages, like percent yield, illustrate different scenarios but are not directly applicable to this question without the necessary data.