subjectto:Maxz=40x1+20x2x1+x21003x1+x2180x10,x20 a) Write the associated dual problem. b) Solve the primal problem, using the dual simplex algorithm (by multiplying all constraint functions by (-) than solving with common simplex). c) Utilizing the final tableau from part (b), find optimal values for the dual variables y1 and y2. d) What is the corresponding value of the dual objective function e) Solve the problem using the graphical method for the primal case f) Solve the problem using the graphical method for the dual case