Which of the following statements are true (T) and which are false (F)?

1. If X = 3and Y = 4, the constraint 2 X + 8 Y <= 38 is satisfied (not violated).
2. Decision variable values like X= -12 and Y=-14 are quite common values in nearly all optimizations.
3. In LPs, we can never guarantee decision variable solutions that are integer valued (e.g. 2, 5, 18).
4. In LPs, we can never guarantee decision variable solutions that are integer valued (e.g. 2, 5, 18).
5. Forthe constraint X = 45, an optimal solution value of X = 45 is the only permissible solution to not violate the constraint.
6. For an LP that has noFeasible Region, there is often a set of variable values that represent an optimal solution.