Final answer:
The Solow model with a Cobb-Douglas production function is a mathematical economic model that analyzes long-term economic growth.
Step-by-step explanation:
The subject of this question is Economics. The Solow model with a Cobb-Douglas production function is a commonly used economic model that analyzes long-term economic growth. It is a mathematical model that explains the relationship between inputs and outputs in an economy.
In this model, 'kt' represents the level of capital per worker in the economy, 's' is the saving rate, 'a' is the technological progress, 'α' is the capital share in the production function, and 'δ' is the depreciation rate. The central equation of the Solow model states that the change in capital per worker is equal to the investment per worker minus depreciation, which can be represented as 'kt+1 = sakαt(1−δ)kt'.
By studying the Solow model, economists can understand how factors such as savings, technological progress, and depreciation affect long-term economic growth.