To determine which production outcome is not attainable given the production possibilities curve (PPC) described, we can analyze the points on the curve.
- The production possibilities curve extends as follows:
- From (0, 30) to (4, 24)
- From (4, 24) to (12, 20)
- From (12, 20) to (20, 0)
Using this information to evaluate each option:
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10 tables and 5 benches: This point could be represented as (10, 5). Given the curve's segments, we need to check if this point lies on or below the curve. Since there’s no specific segment provided near this point, further analysis is required to confirm if it is above the curve.
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20 tables and 0 benches: This point corresponds to the endpoint of the curve (20, 0). This point is definitely attainable.
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15 tables and 15 benches: Outlining this point as (15, 15), we observe that it may be above the curve since there isn't a direct segment connecting those coordinates, implying that it is not attainable.
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0 tables and 20 benches: This point corresponds to (0, 20), which is also attainable since it lies along the vertical axis.
Conclusion: The production outcome that is not attainable for the given production possibilities curve is 15 tables and 15 benches.
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