Question

A firms production function is Q(L)=15l^2-0.1l^3. Find the number of workers required to maximise total product. for what number of workers is average product maximum

Answer 1

$Q=15l^2-0.1l^3,$

$Q'=30l-0.3l^2,$

$Q'=0,$

$l=100,$

$Q=50000.$