In a Certain Factory, Output Q Is Related to Inputs $Q = 3 x ^ { 3 } + 5 x ^ { 2 } y ^ { 2 } + 2 y ^ { 3 }$

Short Answer

In a certain factory, output Q is related to inputs x and y by the equation $Q = 3 x ^ { 3 } + 5 x ^ { 2 } y ^ { 2 } + 2 y ^ { 3 }$ . If the current levels of input are x = 255 and y = 155, use calculus to estimate the change in input y that should be made to offset a decrease of 0.6 unit in input x so that output will be maintained at its current level. Round your answer to two decimal places, if necessary.