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hich of the following production outcomes is not attainable for the given production possibilities curve?

A production possibilities curve is graphed with the horizontal axis labeled Tables from 0 to 25 in increments of 5 and the vertical axis labeled Benches from 0 to 35 in increments of 5. The first branch of the curve is a line segment that extends from left parenthesis 0 comma 30 right parenthesis to left parenthesis 4 comma 24 right parenthesis. The second branch of the curve is another line segment that extends from left parenthesis 4 comma 24 right parenthesis to left parenthesis 12 comma 20 right parenthesis. The last branch of the curve is a line segment that extends from left parenthesis 12 comma 20 right parenthesis to left parenthesis 20 comma 0 right parenthesis.

(1 point)
Responses

20 tables and 0 benches
20 tables and 0 benches

10 tables and 5 benches
10 tables and 5 benches

0 tables and 20 benches
0 tables and 20 benches

15 tables and 15 benches
15 tables and 15 benches
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1 answer

To determine which production outcome is not attainable based on the given production possibilities curve (PPC), we need to evaluate the provided options against the graph characteristics described.

  1. 20 tables and 0 benches - This point is on the curve (the endpoint of the last segment).
  2. 10 tables and 5 benches - This point seems to fall inside the curve and would be attainable (not on the curve but feasible).
  3. 0 tables and 20 benches - This point is not specified in the description of the curve, but since there is a segment from (0, 30) to (4, 24), and it likely goes down to (0, 0), this point could be attainable as well.
  4. 15 tables and 15 benches - This point does not correspond to any point detailed in the description of the PPC and likely exceeds the boundaries set by the curve given (as it may imply producing more than is possible with the combinations of tables and benches).

Based on the description, the most likely answer is 15 tables and 15 benches, which does not seem attainable based on the characteristics of the curve described.