A person standing close to the edge on top of a 96-foot building throws a ball vertically upward. The quadratic function h(t) = -16t + 80t + 96 models the ball's height about the ground, h(t), in feet, t seconds after it was thrown. a) What is the maximum height of the ball? feet b) How many seconds does it take until the ball hits the ground? SecondsSuppose the Sunglasses Hut Company has a profit function given by P(q) = -0.01q~ + 6q - 25, where q is the number of thousands of pairs of sunglasses sold and produced, and P(q) is the total profit, in thousands of dollars, from selling and producing q pairs of sunglasses. A) How many pairs of sunglasses (in thousands) should be sold to maximize profits? (If necessary, round your answer to three decimal places.) Answer: thousand pairs of sunglasses need to be sold. B) What are the actual maximum profits (in thousands) that can be expected? (If necessary, round your answer to three decimal places.) Answer: thousand dollars of maximum profits can be expected.If P{:} = T + S: 3:2 represents the profit in selling I thousand Eppmbntix speakers, how many speakers should be sold to maximize profit? :1 Find the point on the curve 3; = v 3: + 3 which is closest to the point [6,121]. (CL:M