In a lift, a ceiling lamp has come loose and falls down. how long does the lamp take when the cab height is 2.5 m? the following cases apply:
a) the elevator moves at a constant speed v0 = -0.5 m / s downwards.
b) the elevator is accelerated upwards with a constant acceleration a0 (general formula sufficient).
c) the elevator moves downwards with the acceleration g

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