Final answer:
It's not possible to determine economic growth rates or future consumption of Alpha and Beta without more information about their investment in capital goods and current positions on their identical PPFs.
Step-by-step explanation:
Without specific points on the production possibilities frontier (PPF) for Alpha and Beta, and their corresponding levels of consumption and investment, it's impossible to say definitively whether Alpha's or Beta's economic growth rates will differ or which country will consume more in the future. Generally speaking, if one society is investing more in capital goods whereas another is consuming more now, the former is likely to experience higher growth in the future. This is because investment in capital goods can lead to an outward shift in the PPF over time as a result of increased capacity and improvements in technology. Where each country lies relative to their PPF determines their current consumption and production efficacy. To predict future consumption or growth rates, one must also consider factors like changes in resources, shifts in technology, and improvements in efficiency.