**Calculation of Break Even Income**

The break-even income of an economy refers to the level of income at which aggregate consumption equals aggregate income. In other words, it is the point where there is no saving or dis-saving in the economy. To calculate the break-even income, we need to consider the saving rate.

Given that the break-even income is 24000 crores and the economy saves 20% of additional income, we can use the formula:

Break-even income = Autonomous consumption / (1 - saving rate)

Let's assume that the autonomous consumption is AC.

24000 = AC / (1 - 0.2)

Simplifying the equation:

24000 = AC / 0.8

AC = 24000 * 0.8

AC = 19200 crores

Therefore, the value of autonomous consumption is 19200 crores.

**Explanation of Autonomous Consumption**

Autonomous consumption refers to the level of consumption that occurs regardless of income. It is the minimum level of consumption that individuals or households make to meet their basic needs, even when they have no income or very low income. Autonomous consumption is influenced by factors such as government transfers, wealth, and expectations about future income.

In the given scenario, the break-even income is 24000 crores, which means that when the economy reaches this level of income, aggregate consumption equals aggregate income. This implies that individuals or households are consuming their entire income without saving or dis-saving.

If the economy saves 20% of additional income, it means that for every additional unit of income received, 20% is saved and the remaining 80% is consumed. This saving rate of 20% implies that the economy has a propensity to save.

By using the formula to calculate the break-even income, we can determine the value of autonomous consumption. In this case, the autonomous consumption is found to be 19200 crores. This means that even without any additional income, the economy would still consume 19200 crores to meet its basic needs or maintain a certain level of living standards.

Autonomous consumption plays a significant role in determining the consumption patterns and overall economic activity of an economy. It provides a baseline level of consumption and influences the multiplier effect, which measures the impact of changes in autonomous consumption on overall income and output levels in an economy.

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