With following values, c = 0,7, t = 0,41 and m = 0,86 use the multiplier and calculate the potential impact of the President’s R791 billion infrastructure investment plan on the value of GDP in 2021.
the formula of multipliers ="\\frac{dy}{d}=[\\frac{1}{1-b(1-t)+m}]"
let's say investment increases by 791
then
"\\frac{dy}{791}=[\\frac{1}{1-0.7(1-0.41)+0.86}]"
"\\frac{dy}{791}=[\\frac{1}{1-0.7(0.59)+0.86}]"
"\\frac{dy}{791}=[\\frac{1}{1-0.413+0.86}]"
"\\frac{dy}{791}=[\\frac{1}{1.447}]"
"\\frac{dy}{791}=0.691"
"dy=546.648"
GDP in 2021 increases by 546.648 bn
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