The annual profits (in millions of dollars) of a company are given by: B(x,y)=x2y2+22x+18y102 , where x is the amount invested in research (in millions of dollars) and Y is advertising spending (also in millions of dollars).

a) Find the benefits when and when x = 10, y = 8 and when x = 12, y = 10.

b) Find the profit maximizing values of x, y, along with the corresponding profit x y.