Religious Studies homework help. Consider the following Linear Programming model:Maximize -x+0.5ySubject to:y-2x=4y=0x>=0.5(a) Draw the feasible region and objective function for the model. Report what you find aboutthe optimal solution(s) and the optimalvalue. Justify your finding.(b) Change the objective function in the LP model to “x-0.5y”.Report what you find about the optimal solution(s) and the optimal value. Justify your finding.