Which statements about observations and inferences are correct? Select all that apply. A. Inferences can never be proven. B. Inferences are always based on observations. C. Something that is commonly known is always an observation. D. Information obtained using a tool is not an observation. E. Inferences may be true or false. OF. Observations are always made using the five senses. OG. Scientists use observations to explain how things work.

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