Which 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

10 tables and 5 benches
10 tables and 5 benches

15 tables and 15 benches
15 tables and 15 benches

20 tables and 0 benches
20 tables and 0 benches

0 tables and 20 benches

1 answer

To determine which production outcome is not attainable given the production possibilities curve (PPC) described, we can analyze the points mentioned in relation to the described segments of the curve.

  1. 10 tables and 5 benches:

    • This falls within the production possibilities since it is not beyond the curve.
  2. 15 tables and 15 benches:

    • This point would likely be beyond the PPC since the maximum number of benches at 0 tables is 35, and with 15 benches, it implies more resources are needed than what is available, making it unattainable on the curve.
  3. 20 tables and 0 benches:

    • This is the endpoint of the curve, which is attainable.
  4. 0 tables and 20 benches:

    • This point is also within the curve’s limits and is thus attainable.

Based on this analysis, the production outcome 15 tables and 15 benches is the one that is not attainable based on the given production possibilities curve.