Sa result of his observations, ole roemer concluded that eclipses of io by jupiter were delayed by 22 min during a six–month period as the earth moved from the point in its orbit where it is closest to jupiter to the diametrically opposite point where it is farthest from jupiter. using the value 1.50 108 km as the average radius of the earth's orbit around the sun, calculate the speed of light from these data.

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