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:
\( 44 \)
\( 33 \)
\( 55 \)
\( 22 \)
