A firm produces one output in a quantity y using three inputs with quantities x 1
,x 2
and x 3
. The production function of this firm is determined by y:(R +
) 3
→R : (x 1
,x 2
,x 3
)↦y(x 1
,x 2
,x 3
)=3 4
x 1
x 2
2
x 3
. Management considers increasing the current levels of inputs x 1
and x 2
by 1%. What is the impact of this decision on the input level of x 3
if the output level must remain the same?