Over the past year, productivity grew 2%, capital grew 2%, and labor grew 2%. If the elasticities of output with respect to capital and labor are 0.4 and 0.6, respectively, how much did output grow

Respuesta :

The percentage change in output (GDP or production at a single firm) divided by the percentage change in an input is known as output elasticity in economics. To make it clear that it applies to changes in only one input, it is sometimes referred to as partial output elasticity.

The growth accounting equation is given by

% Change in productivity = %change in output - [tex]\alpha[/tex]%growth of capital -[tex]\beta[/tex] growth in labor

2%=%change in output  -0.319[tex]\times[/tex](-2%)-0.681[tex]\times[/tex](-2)%

    =%change in output+0.00638+0.01362

    =%change in output+2%

%change in output=2%-2%=0%

Hence output growth rate is 0%

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