5) Consider the following LP problem with two constraints: 34X + 35Y >= 1190and 12X + 17Y= 204. The objective function is Min 4X + 41Y . What combination of X and Y will yield the optimum solution for this problem? a. infeasible problem b. unbounded problem c. 2 , 10.5882 d. 17 , 0 e. 0 , 12

31) Consider the following LP problem: Min 6X+ 30Y; Subject to : 2 X + 10Y <= 20, and X + Y <= 60. Which one of the following is true?: a. Optimal Obj. function value is 60 b. Optimal Obj. function value is 0 c. X=30, Y=30 is the only optimal solution. d. Slack for each constraint is zero.

32) Consider the following set of constraints (Maixmization problem): 44X+ 88Y>= 52, and 132X+ 44Y >= 26. The following is true for this problem: a. X=44, Y=4 is the only optimal solution. b. Infeasible problem. c. X = 0, Y = 44 is the only optimal solution. d. Unbounded problem.