The open loop transfer function of a unity feedback control system is $$G(s) = \frac{K}{(s + 2)(s + 1)(s^2 + 6s + 25)}$$. Determine the range of gain ‘K’ for the unity feedback control system to be stable.

A

$$+200 < K < 666.25$$

B

$$−200 < K < 112.17$$

C

$$−200 < K < 666.25$$

D

$$0 < K < 200$$