First I would like to thank everybody here for providing the help. This great resource allows me to understand things beyond what my textbook only offers. I have the question below:
Here is the figure they are referring to in the question:
(Source of images: "Microelectronic Circuits" book by Sedra/Smith, 7th edition, chapter 9)
HERE YOU FORGET TO INSERT AN IMPORTANT ASSUMPTION
AND IT EXPLAINS WHY YOU ARE MISSING 0.4 V taken from sedra-smith
So using the small signal analysis model, which am not going make you bored from it, I was able to find the value to Rc = 5k ohms which totally agrees with the text book's answer. Now my struggle is to find the maximum Vcm. Here is my analysis
\begin{equation} V_{cm,max}=V_{BE}+V_C=0.4+V_{CC}-\frac{I}{2}R_C=0.4+5-\left(0.5mA\right)\left(5k\Omega \right)=2.9V \end{equation}
But my book says that:
\begin{equation} V_{cm,max}=1.6V \end{equation}
Can somebody please tell me how that came about?? Am really confused! Thank you for your help in advance.
UPDATE 1: Here is an LTspice simulation of the problem. Please let me know if my model is correct or not because am a beginner with LTSpice. You can see from the simulation results that change in collector voltages and currents don't happen till around vb=2.9V