### Mathematics - Calculus in Commerce

Production The output Q at a certain factory is related to inputs x and y by the equation: Q = x^3 + 2xy^2 + 2y^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 cu