Find positive numbers x and y such that x+y=27 and 16xy^2 is maximized.

Select the correct choice below and, if necessary, fill in the answer box to complete choice.

A.x=

(Type an integer.)

B. There is no solution.

Select the correct choice below and, if necessary, fill in the answer box to complete choice

A y= (type an integar)

B There is no solution