  If N=2 supersymmetry breaks to N=1 supersymmetry at an intermediate scale
$m_2$ and then, later on, N=1 supersymmetry breaks and produces standard model
at a scale $m_{susy}$ such that $m_2 > m_{susy}$, renormalization group
evolution of three gauge couplings are altered above the scale $m_2$, changing
the unification scale and the unified coupling. We show that when we enforce
this general condition $m_2 > m_{susy}$ on the solutions of the renormalization
group equations, the condition is translated into an upper bound on the scale
$m_{susy}$. Using presently favored values of
$\alpha_1(m_z),\alpha_2(m_z),\alpha_3(m_z)$, we get $m_{susy} < 4.5 \times
10^9$ GeVs for the central value of $\alpha_3(m_Z)$. When low energy threshold
effect is present, this bound gets smeared yet remains generally stable in the
$10^9-10^{10}$ GeV range. We also show that if we demand string unification
instead of having an unified gauge theory, this constraint can be changed by
exotic hypercharge normalizations.
