Graphically analyze the following problem:Maximize profit $=$ $$4$X $+$ $$6$Ysubject to X $+2$Y $...8$ hours$6$X $+4$Y $...24$ hours$($a$)$ What is the optimal solution?$($b$)$ If the first constraint is altered to X $+3$Y $...8,$does the feasible region or optimal solutionchange"