Design the circuit of the following figure to provide a differential output voltage (i.e., one taken between two collectors) of 1 V when the differential input signal is 10 mV. A current source of 1 mA and a positive supply of +5 V are available. What is the largest possible input common-mode voltage for which operation as required is possible? i.e. the transistors don't leave the Active region of operation. Assume α ≅ 1.