Also perform sensitivity analysis on one resource, one profit factor (nonbasic) and one profit factor (basic) of your choice.

At one iteration of the simplex for the following problem the basis of (X4,X1,S3,X3) is obtained. 1. Is this basis optimal? (Use tableau structure to fill the appropriate tableau--show the work). If it is not optimal, find the optimal tableau using regular simplex method. 2. Verify your optimal solution and the final tableau using LINDO. 3. Investigate whether adding the new constraint 31+X2+24+X6