Two cars are moving towards each other for a head on collision, i. e. they are headed in opposite directions so that the BLUE car is traveling Left & the RED car is traveling Right. The mass of the BLUE car is 490 kg and it is moving at 35 m/s. The mass of the RED car is 350 kg and it is moving 20 m/s. After the collision their bumpers lock together and they move together. What is their speed & direction after the collision? Pleaseee help me *will ofc give brainliest*

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