Problem 3: Consider the following problem and its optimal Simplex table (x4,x5, and x6 are the slack variables for constraints 1,2 , and 3 , respectively): Maximize Z=x17x2+3x3, subject to 2x1+x2x34( resource 1) 4x13x22 (resource 2 ) 3x1+2x2+x33 (resource 3 ) and x10,x20,x30. a) Identify the optimal solution of the problem (Z,x1,x2, and x3). b) Manually identify the dual price for each resource, the allowable range to stay feasible for each right-hand side coefficient, and the allowable range to stay optimal for each objective function. c) Use Excel Solver to verify your answers