Maximize the revenue function $R(x,y)=-6x^{2}6xy-4y^{2}90x60y$ subject to the constraint $x2y=44($note that this same function was in the notes but with a different constraint$).$ Please include the following steps:

a$)$ Show an equation with the LaGrange ratios $\frac{f_x}{g_x}$ and $\frac{f_y}{g_y}$ equal to each other

b$)$ Simplify the equation into $x=$ or $y=($your choice$)$

c$)$ Show a proper substitution

d$)$ Give the final solutions for $x$ and $y$