Given the optimal solution: X* = 3 and Y* = 7 for the following Linear Programming problem with 4 constraints: MAX 2X + 3Y s. 2X + Y 4 . (1) X + Y...

31. Given the optimal solution: X* = 3 and Y* = 7 for the following Linear Programming problem with 4 constraints:  

      MAX 2X + 3Y

        s.t. 2X +   Y ≥   4 ..........  (1)

                X +   Y ≤  10 .......... (2)

                X + 3Y ≤  24 .......... (3)             

              2X +   Y ≤  16 .......... (4)              X, Y ≥  0

 Which one of the following statements about dual price of constraint 3 is correct?

Select one:

a. dual price of constraint 3 must be zero.b. due price of constraint 3 must be not equal to zero.