Which of the following statements are true (T) and which are false (F)? 1.) If X

Question

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

1.) If X = 2 and Y = 3, the constraint 2 X + 8 Y <= 26 is satisfied (not violated).      True or False?

2.) Decision variable values like X= -12 and Y=-14 are prohibited values in nearly all optimizations. True or False?   

3.) In LPs, we can expect decision variable solutions that are always integer valued (e.g. 2, 5, 18). True or False?   

4.) For the constraint X = 45, an optimal solution value of X = 35 is permissible and does not violate the constraint. True or False?

5.) For an LP that has a Feasible Region, that region represents an infinite number of solutions. True or False?

Explanation / Answer

1) true

substitute the values of x and y in constraint

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