water is pumped from a borehole whose elevation is 564m to a tank in a school compound at an elevation of 2096m. the radius of the pipe at the inlet is 4cm while pressure is 400 kpa. at the exit the radius of the pipe is 2cm. calculate the pressure at the exit.(inlet = 2 m/s)

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