Friendly Towers is a high rise apartment building. Dieter and three of his friends, Sanjay, Bethany, and Ivanka live on different floors of Friendly towers. Here is some information of where they live. Dieter lives on the 9th floor. Friendly Towers has 5 times as many floors as dieters floor number. Bethany lives on the 3rd floor below the top floor. Ivanka lives two floors above Sanjay and Sanjay lives 5 floors below bethany. On the floor which is 8/9 of the way to the top of the building you will find a pool used by residents of the building. Which floor do each of Sanjay bethany and Ivanka live on and on which floor is the pool located

If p(x) is the total value of the production when there are x workers in a plant, then the average productivity of the workforce at the plant is a(x) = p(x) x . (a) find a'(x). a'(x) = xp'(x) − p(x) x a'(x) = xp'(x) − p(x) x2 a'(x) = p'(x) − p(x) x a'(x) = xp'(x) − p'(x) x2 a'(x) = p'(x) − xp(x) x2 why does the company want to hire more workers if a'(x) > 0? a'(x) > 0 ⇒ a(x) is ; that is, the average productivity as the size of the workforce increases. (b) if p'(x) is greater than the average productivity, which of the following must be true? p'(x) − xp(x) > 0 p'(x) − xp(x) < 0 xp'(x) − p'(x) > 0 xp'(x) − p(x) < 0 xp'(x) − p(x) > 0