A cable is attached to a $2\mathrm{.}50$ kg

block A$,$ is looped over a fixed peg at C$,$ and is attached to plate B$.($Figure $1)$ The coefficient of static friction between the plate and the block is $\backslash$mu A$=0\mathrm{.}200,$ the coefficient of static friction between the plate and the inclined plane is $\backslash$mu B$=0\mathrm{.}440,$ and the coefficient of static friction between the cable and the peg is $\backslash$mu C$=0\mathrm{.}180.$ If the plane's angle is $30\mathrm{.}0$ degrees, what is the maximum mass that plate B can have such that it does not slide down the plane?