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Which of the following statements are true (T) and which are false (F)? 1. If X = 2 and Y = 3, the constraint 2

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

  1. 1. If X = 2 and Y = 3, the constraint 2 X + 8 Y <= 26 is satisfied (not violated).
  2. 2. Decision variable values like X= -12 and Y=-14 are prohibited values in nearly all optimizations.
  3. 3. In LPs, we can expect decision variable solutions that arealwaysinteger valued (e.g. 2, 5, 18).
  4. 4. For the constraint X = 45, an optimal solution value of X = 35 is permissible and does not violate the constraint.
  5. 5. For an LP that has a Feasible Region, that region represents an infinite number of solutions.

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