What is the reasoning behind newton's law of universal gravity?

a.
centripetal force is the force directed toward the center of a circle as a moving object changes direction.

b.
the force any object exerts upon another is related to the distance between them.

c.
the square of the orbital period of a planet is directly proportional to the cube of the semi-major axis of its orbit.

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