The MOS differential amplifier in this problem is operated at a bias current of IREF = 0.8mA. M1 and M2 have Kn’ = 0.2mA/V2 and W/L = 100, RD = 5kΩ and RSS = 25kΩ. If the drain resistors have a 1% mismatch, find the small signal differential gain (Ad), the common mode gain (Acm), and the Common Mode Rejection Ratio (CMRR) in dB, defined as 20log|Ad|/|Acm|. Note, for DC purposes, neglect the effect of RSS and assume that IREF is split equally between the two arms. Do not neglect RSS for small-signal analysis and assume that VCM is set such that gm = 4mA/V for M1 and M2

The second largest public utility in the nation is the sole provider of electricity in 32 counties of southern florida. to meet the monthly demand for electricity in these counties, which is given by the inverse demand function p = 1,200 – 4q, the utility company has set up two electric generating facilities: q1 kilowatts are produced at facility 1, and q2 kilowatts are produced at facility 2 (so q = q1 + q2). the costs of producing electricity at each facility are given by c1(q1) = 8,000 + 6q12 and c2(q2) = 6,000 + 3q22, respectively. determine the profit-maximizing amounts of electricity to produce at the two facilities, the optimal price, and the utility company’s profit