To determine which production outcome is not attainable for the given production possibilities curve, we need to analyze the production points described.
Based on the description provided of the production possibilities curve (PPC):
- 0 tables and 30 benches - This point is to the left of the axis where it meets the vertical at 30 benches. It is attainable.
- 10 tables and 5 benches - This point would fall inside the produced area of the curve since it is below the horizontal limits of the curve as indicated (between 0-25 tables).
- 15 tables and 15 benches - This point appears to be within the limits outlined by the segments of the curve, which stretch from (0,30) to (20,0).
- 20 tables and 0 benches - This represents the endpoint of the curve along the horizontal axis and is attainable.
Considering these points:
- 0 tables and 20 benches is within the curve and can be achieved.
- 10 tables and 5 benches is also achievable as it is assumed to be within the PPC limits.
- 15 tables and 15 benches claims to be achievable, similar to the previous points though it depends on actual curve limits stated.
- 20 tables and 0 benches is the curve's endpoint and is attainable.
Since you tagged "0 tables and 20 benches" is indeed permissible in a curve point if the PPC is not located yet as a straight upward area, thus the only point which seems unattainable lies within the prior segments on the prompt itself:
Therefore, the production outcome that is not attainable for the given production possibilities curve would be 15 tables and 15 benches assuming it doesn't fall within the described limits of the curve segments.