$($:$Q_2\}$ The cantilever beom $AB$ shown in the figure below is constructed from two different beam sections with $I_1=1{10}^{-3}{m}^4$ and $I_2=0,5{10}^{-3}{m}^4.$ A concentrated load $P$ is applied at mid$-$knsth and a concentrated momert is applied at $4,5$ meters from the fixed support at point $A.$ If the maximum allowable deflection at the tip of the beam $($at point $B)$ is given as Limm, colcuble the maximum ualue of the lood P$.(E=200$GPa for both beam sections.$)$ Make use of the moment$-$area method to solve the problem.

Hint: Draw the momert digrams for $P$ and $5kN$ SEPERATELY to make the colcultions easier.