The gravitational force between earth and the sun is a two-way force. both the planet and the sun attract each other. however, earth revolves around the sun rather than the sun revolving around earth. which statement best explains the orbit of the earth around the sun?

a) the sun is at the center of the solar system.
b) the sun’s mass is much greater than earth’s.
c) earth rotates about its axis, but the sun does not.
d) other planets also try to move the sun around them

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