Question: The output Q at a certain factory is related to inputs x and y by the equation \(Q={{x}^{3}}+2x{{y}^{2}}+2{{y}^{3}}\). If the current levels of input are x = 10 and y = 20, use calculus to estimate the change in input y that should be made to offset an increase of 0.5 in input x so that output will be maintained at its current level.