The points outside the production possibilities frontier areGroup of answer choicesefficient.attainable.inefficient.unattainable.

To answer the question step by step:

1. Understand the Production Possibilities Frontier (PPF): The PPF is a curve that shows the maximum possible output combinations of two goods or services that an economy can achieve when all resources are fully and efficiently utilized.

2. Identify the points outside the PPF: These are points that lie beyond the curve, representing combinations of goods or services that are not achievable with the current resources and technology.

3. Analyze the characteristics of these points:

   • Efficient: Points on the PPF are considered efficient because they represent the maximum output possible with the available resources.
   • Attainable: Points inside or on the PPF are attainable because they can be produced with the available resources.
   • Inefficient: Points inside the PPF are inefficient because they represent underutilization of resources.
   • Unattainable: Points outside the PPF are unattainable because they cannot be produced with the current resources and technology.

4. Conclusion: Based on the analysis, the points outside the production possibilities frontier are unattainable.

Therefore, the correct answer is:

• unattainable.