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Consider the Solow-Swan model. Which of the following statements is FALSE?Group of answer choicesThe higher the saving rate the higher the steady state level of capital per workerIn steady state, output per worker does not depend on the level of total factor productivityThe higher the depreciation rate the lower the steady state level of capital per workerIf investment is greater than total depreciation, the capital stock increases

Question

Consider the Solow-Swan model. Which of the following statements is FALSE?Group of answer choicesThe higher the saving rate the higher the steady state level of capital per workerIn steady state, output per worker does not depend on the level of total factor productivityThe higher the depreciation rate the lower the steady state level of capital per workerIf investment is greater than total depreciation, the capital stock increases

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Solution

The false statement is: "In steady state, output per worker does not depend on the level of total factor productivity".

In the Solow-Swan model, the steady-state level of output per worker is indeed influenced by the level of total factor productivity. Higher total factor productivity would lead to a higher steady-state level of output per worker. This is because total factor productivity represents how efficiently the factors of production (like capital and labor) are used in the production process. If this efficiency is higher, then for a given amount of capital and labor, output will be higher.

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