2.Consider the following problem. Maximize Z = ba, +3r2. subject to 1 + 2r, s a I + ar, = b b-2 and 2 0, 20. (1)Solve the problem graphically. (2)Using the Big M method, construct the complete first simple tableau for the simplex method and identify the corresponding initial (artificial) BF solution. Also identify the initial entering basic variable and the leaving basic variable. (3) Continue from part (2) to work through the simplex method step by step to solve the problem.