Consider the maximization problem given below. The following tables are the solution of the problem and sensitivity analysis.

X $ 2020_fall_final.pdf X G Consider the follox Gnsider the fs 0898f-c932-4a40-aaf7-c4d0fe6f6c6a/devler/93e531be-32a7-4581 ipedia y? Yahoo! Dier Dier Safari'den Ie Akt... LOGI 2213 Final - Page 8 of 12 LOGI 2213 January/25/2021 Final - Page 9 of 12 January/25/2021 (a) (3 points) If the right-hand side value of the first constraint increases from 50 to 52, the objective function value increases to 709.639. TRUE or FALSE? 4. (20 points) Consider the maximization problem given below. The following tables are the solution of the problem and sensitivity analysis. Decision variables x X2 3.47222 1.66667 (b) (3 points) Explain your answer above. Why? Max 2 175 60 = 707.639 (c) (3 points) If the right-hand side value of the second constraint increases from 10 to 20, the new objective function value would be 717.393. TRUE or FALSE? 12 1 0 5 = 1- 15 = 50 5.13889 25 50 10 25 Objective Cell (Max) Cell Name Original Value Final Value $G$16 7100 707.6388889 (d) (3 points) If the right-hand side value of the third constraint increases from 25 to 155, the new objective function value decreases by 86.1111. TRUE or FALSE? Variable Cells Cell Name Original Value Final Value Integer $0$14 x1 20 3.472222222 Contin SE$14 X2 60 1.666666667 Contin (e) (3 points) If the objective coefficient of the first decision variable (c) decreases from 175 to 165, be the new objective function value decreases by 34.722. TRUE or FALSE Constraints Cell Name SG$18 SG$19 $G$20 = Cell Value Formula Status Slack 50 $G$18