Consider the following LP: Maxz=4x1+x2+2x3+5x4s.t.8x1+3x2+x32x1+2x2+3x466x1+x2+x38x1,x2,x3,x40 Given that the optimal basis is {x3,x4,s3}, use the sensitivity analysis equations from class to answer the following questions: a. Determine the optimal solution and the optimal objective function value. b. Find the range of values of the right hand side of constraint 2 for which the current basis remains optimal. How do the optimal decision variables and optimal objective function values change if the right hand side of constraint 2 increases by 5 ? How do these values change if the right hand side of constraint 2 decreases by 3 ? c. Find the range of values of the objective function coefficient of x3 for which the current basis remains optimal. d. Find the range of values of the objective function coefficient of x1 for which the current basis remains optimal. How do the optimal decision variables and optimal objective function values change if the objective function coefficient of x1 changes to 14