A baseball player catches a baseball thrown to them in their mitt with their wrist did not bend such that all the impact went into the palm of the hand. The baseball of mass 150g was traveling at 95 mph when it was caught by the player. The impact was absorbed by the bones of the hand. Model the bones of a hand as solid sheet of length 7 cm and width 5 cm, with a depth of 1.5 cm. How much did the bone compress on impact with the ball

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