Problem 2 Consider the following linear program: max3x1+2x2+x3s.t.2x1+x2+x3x1+x2x3xi12160 along with its optimal tableau: z100x1121x2010x3112s1211s2001rhs24124 where s1 and s2 are the introduced slack variables. (a) What is the current basis? (b) Find the range of values that the right hand side of the first constraint (currently set to b1=12 ) can take on while maintaining optimality of the current basis. (c) Find the range of values that the objective coefficient of x2 (currently set to c2=2 ) can take on while maintaining optimality of the current basis. Problem 2 Consider the following linear program: max3x1+2x2+x3s.t.2x1+x2+x3x1+x2x3xi12160 along with its optimal tableau: z100x1121x2010x3112s1211s2001rhs24124 where s1 and s2 are the introduced slack variables. (a) What is the current basis? (b) Find the range of values that the right hand side of the first constraint (currently set to b1=12 ) can take on while maintaining optimality of the current basis. (c) Find the range of values that the objective coefficient of x2 (currently set to c2=2 ) can take on while maintaining optimality of the current basis