Final answer:
The introduction of a new technology that makes manufacturing twice as efficient would expand the production possibilities frontier (PPF) in the country of Alpha, representing economic growth and increased productivity.
Step-by-step explanation:
In the hypothetical scenario provided, the introduction of a new technology that doubles manufacturing efficiency in the country of Alpha would affect the country's production possibilities frontier (PPF). Specifically, this technological advancement would expand the frontier, indicating that with the same amount of resources, the economy could now produce more goods. This expansion of the PPF is due to increased productivity, allowing for greater output without the need for additional inputs.
When technology improvements or better inputs lead to more production being possible, we observe what is termed economic growth. In short-run analysis, a country can only produce along the existing PPF, but in the long-run, it can shift this frontier outward (to produce more) or inward (if there's a decrease in productive capacity).
An analogy to this is if a student suddenly found more efficient study techniques that doubled their learning speed without additional study hours, their capacity for acquiring knowledge would grow, akin to a country's PPF expanding with improved manufacturing efficiency.