A batch of $460lb$ of sulfuric acid $(90\%$ concentrate$)$ is needed. Unlimited supplies of $98\%$ and $40\%$ concentrates of sulfuric acid are available. How much of each is needed to produce the required $90\%$ concentrate? $($Round the final answer to four decimal places.$)$

The amount of $98\%$ concentrated sulfuric acid required is $$ Ib$.$

The amount of $40\%$ sulfuric acid required is $q,$ lb$.$