(2) For the following LP, x1 and s2 are basic variables in the optimal tableau, i.e., BV={x1,s2}, where s2 is the slack variable added to the second constraint. maxz=3x1+2x2s.t.4x1+3x2120x1+3x280x1,x20 (a) Write the standard form. (2 point) (b) Write xBV,xNBV,cBV,cNBV,B,N and b and compute B1. (4 points) (c) For what range of b2, the current basis remains optimal? (4 points) (d) Change b2 from 80 to 40 , will the current basis remain optimal? If yes, find the new optimal solution and optimal value. ( 4 points)