There need not be any relationship.
A function.
Relation
Function
function rule
What is the difference between output and input?If you sing into a microphone you can hear the microphone's output.Sound coming out of the power amp to the speakers.That is the input of the loudspeaker.Do you see the difference?Your voice is the microphone's input. Its output is electrical impulses that are input to the amplifier. The amplified impulses are the output of the amplifier and input to the speaker. Sound waves are output of the speaker and input to your ears.
A function.
is unknown
Design
Relation
Function
Returns to scale refer to a special relationship between output and input. During production, this relationship refers to the connection between the changes that occur with the output and those that began in the input.
yes
function
Input energy = output energy + losses
function rule
: It depicts a relationship between output and a given input.
The relationship between input work and useful output work can be represented by efficiency. Efficiency is the ratio of useful output work to input work. A higher efficiency indicates that a larger proportion of the input work is converted into useful output work, while a lower efficiency suggests that more of the input work is wasted or converted into non-useful forms.