In the Solow growth model of an economy with population growth but no technological progress,the steady-state amount of investment can be thought of as a break-even amount of investment because the quantity of investment just equals the amount of:

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In the Solow growth model, the steady-state occurs when the economy reaches a long-run equilibrium with a constant level of output per worker, capital per worker, and consumption per worker. With population growth, the capital stock must be increased over time to equip new workers, and existing capital needs to be replaced due to depreciation. Therefore, the steady-state amount of investment can be thought of as a break-even amount of investment because it just equals the amount of capital needed to replace depreciated capital and to equip new workers (choice B). Investment beyond this break-even amount would result in an increase in the capital stock and output per worker, pushing the economy towards a new steady-state.

In the Solow Growth Model of an Economy with Population