Dan and Louis both weighed 90 lbs. Both climbed a hill which rose 60 feet. It took Dan 10 minutes and Louis 4 minutes. How much work did Dan and Louis do? Dan: 540 foot-pounds, Louis: 1200 foot-pounds Dan: 5400 foot-pounds, Louis: 5400 foot-pounds Dan: 900 foot-pounds, Louis: 360 foot-pounds

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