Suppose marginal propensity to consume is 0.75 and there is a 20 percent proportional income tax. Find the change in equilibrium income for the following (a) Government purchases increase by 20, (b) Transfers decrease by 20.
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  1. $\Delta\text{Y}=\frac{1}{1-\text{c}(1-\text{t})}\times\Delta\text{G}$
$=\frac{1}{1-0.75(1-0.2)}\times20$
$=\frac{1}{1-0.75\times0.8}\times20$
$=\frac{20}{1-0.60}$
$=\frac{20}{0.4}$
$=50$
  1. $\Delta\text{Y}=\frac{1}{1-\text{c}}\Delta\text{T}$
$=\frac{0.75}{1-0.75}\times20$
$=\frac{0.75}{0.25}\times20=60$
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