Let the points  $$\left(\frac{11}{2},\alpha\right)$$ lie on or inside the triangle with sides $$x+y=11,\; x+2y=16$$  and $$2x+3y=29.$$ Then the product of the smallest and the largest values of  $$\alpha$$  is equal to:

A

44

B

22

C

33

D

55