G The mass of a rigid rod is 0.60 kg and its length is 39.0 cm. Calculate the moment of inertia (in kg · m2) for the rod if it is pivoted about an axis through the center of mass of the rod. (Assume the axis is perpendicular to the rod. Enter your answer to at least three significant figures.)

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