Final answer:
The opportunity cost of Marlene sculpting is the number of paintings she cannot paint. For each sculpture she makes, she gives up the ability to produce 6 paintings, which represents the opportunity cost of one sculpture.
Step-by-step explanation:
Understanding Opportunity Cost in Production
The opportunity cost of a specific economic action is what must be given up to perform that action. When applied to production, opportunity cost refers to the potential benefits an individual, investor, or business misses out on when choosing one alternative over another. For Marlene, a sculptor and painter, this concept can be used to determine the cost of producing sculptures over paintings.
According to the information given, Marlene can produce either 3 small sculptures or 18 paintings each day. To find the opportunity cost of Marlene sculpting (producing sculptures instead of paintings), we look at what she sacrifices by not painting. If she spends a day sculpting, she foregoes the opportunity to paint 18 paintings. Therefore, the opportunity cost of Marlene producing one sculpture is the number of paintings she could have produced in the time taken to make that sculpture. Since 3 sculptures equal 18 paintings, we divide 18 paintings by 3 sculptures to find the opportunity cost of one sculpture, which is 6 paintings per sculpture.
Understanding and applying the concept of opportunity cost allows individuals and businesses to make informed decisions that align with their economic goals, ensuring resources are utilized effectively to achieve maximum productivity and profitability. This emphasis on decision-making and trade-offs is central to economic study and can be clearly observed in examples ranging from daily business operations to international trade, where entities assess costs and benefits to optimize their outcomes.