Inch, an inchworm, is inching along a cotton clothesline. The 5 meter long clothesline has a mass of 0.2 kilograms, and is pulled tight under 100 N of tension. Vivian is hanging up her swimsuit 0 meters from one end when she sees Inch 2.54 cm (one inch) from the opposite end. She plucks the clothesline sending a terrifying 3 centimeter high wave pulse toward Inchy. If Inchy crawls at 1 inch per second, will he get to the end of the clothesline before the pulse reaches him

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