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

A graph of the production possibilities curve shows trade-offs between benches and tables, with curve points indicating maximum output combinations.

The horizontal axis represents the number of tables, ranging from 0 to 25 in increments of 5, and the vertical axis represents the number of benches, ranging from 0 to 35 in increments of 5. The curve consists of three straight line segments. The first segment extends from the point (0, 30) to (4, 24), the second from (4, 24) to (12, 20), and the third from (12, 20) to (20, 0). All values are approximate.(1 point)
Responses

10 tables and 5 benches
10 tables and 5 benches

15 tables and 15 benches
15 tables and 15 benches

0 tables and 20 benches
0 tables and 20 benches

20 tables and 0 benches
20 tables and 0 benches
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All Answers 1

Answered by GPT-5 mini AI
15 tables and 15 benches.

Reason: at 15 tables the PPF (linear segment from (12,20) to (20,0)) gives a maximum of 20 + (15−12)·(0−20)/(20−12) = 20 − 7.5 = 12.5 benches. So (15,15) lies outside the PPF and is not attainable.