Problem 1. You are using simplex method to solve the following LP: max 2x1 + 3.22 s.t. -21 + x2 0,22 > 0 = The initial dictionary is 5 2x1 + 3.02 23 5+21-22 24 35 - 21-322 = 25 20-11 = and the final optimal dictionary is 5 55 - 14-15 5 3x4 + {x5 20 - 15 23 20+ 14 15 X2 21 Answer the following questions: (a) Write down the basic matrix B and nonbasic matrix N in the optimal dictionary. (b) Compute the range of the coefficient of x2 in the objective function such that the current optimal basis is unchanged. (c) Compute the range of the right hand side of the second inequality constraint such that the current optimal basis is unchanged