Output elasticity

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Output elasticity (w₁ ) is the proportionate rate of change in output due to change in input.
i.e w₁  = δ(lnq)/δ(lnx₁ ) 
=  (δq/q)/(δx₁/x₁ )
= (δq/δx₁)/(q/x₁ ) 
= MP/AP

w₁ > 1 when MP > AP
w₁ = 1 when MP = AP
 w₁ <1 when MP < AP