A block of mass 22 kg is sliding along the ice at constant speed 5.0 m/s. Just ahead of it is a block of mass 29 kg sliding in the
same direction at constant speed 4.6 m/s. When the two blocks collide, the 29-kg block travels at a new speed of 7.2 m/s. What is
the new speed of the 22-kg block?

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