When thermal insulation, such as spun glass or rock wool, is placed beneath the roof of a house, then in cold weather the insulation will: . create heat to warm the house. b. keep the cold from coming through the roof. c. slow the flow of heat from inside the house to the outside. d. stop the flow of heat from inside the house to the outside.

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