Problem $3.$ Two $9/16$ x $10$ plates are welded to a W$12$x$65$ profile for a composite section as shown. Assume the components are connected such that the cross section is fully effective. Consider A$36$ steel and KxL $=$ KyL $=25$ft$.$ a$)$ Calculate the design axial compression strength based on flexural buckling $($do not consider torsional buckling$).$ b$)$ What is the percentage increase in strength over the unreinforced W$12$x$65$ profile? $30$pts