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Analyzing the Multiplier Effect in the Equilibrium Formula

In a simple economic model, the equilibrium level of output (Y) is given by the formula Y = [1 / (1 - c₁)] * (c₀ + I), where (c₀ + I) represents total autonomous spending and c₁ is the marginal propensity to consume (with a value between 0 and 1). Explain why the equilibrium output (Y) is always a multiple greater than one of the total autonomous spending.

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