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# 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.