please do not use any solver

please do not use any solver software

Problem 4: (Sensitivity Analysis) [20 points) For the following maximization problem, the graph of the feasible region and solution and feasibility report are given below: max3x) + 212 + 2.13 540 S.L 2.1) + S SO S15 20 Variables Final Reduced Allowable Allowable Name Value Cost Decrease Increase 20 1 10 05 4 40 15 30 Constraints OST 25 20 (0:20 Shadow Allowable Allowable Price Decrease Increase 1/3 15 75 15 5 (17.5.15) Name Slack 0 0 5 3X3 =15 15 (013015 10 (2010) 5 (25.0) 0 0 5 10 15 20 25 30 35 40 45 50 55 10.40 (a) Find the optimal solution and complete the missing values in the solution and sensitivity report tables 1. (2 points) Allowable increase for RHS of C3 = ti (2 points) Allowable increase for RHS of C2 = iii. (2 points) Shadow/Dual Price of Constraint 3 = iv. (2 points) Reduced Cost of x1 = _, and x2 = (b) (4 points) What would be the new Z if the RHS of constraint I increases to 45? (c) (4 points) What would be the new optimal solution if the OFC of increases to 5? (d) (4 points) A new variable, xs, is added. Its coefficient for CI is 1. C2 is 2 and C3 is 0. What should be the minimum value of its OFC so that can be a basic variable in the optimal solution