4) A reasonably powerful car's engine may produce 200. horsepower. If the car has a mass of
750.0 kg, and starts from rest, calculate the car's speed after 10.00 s of acceleration at this
power. The following subparts will guide you through this calculation:

a) Convert the power to appropriate units.

b) Calculate the amount of work the engine does during the given time interval.

c) Calculate the final speed of the car.

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