Teri goes shopping for some new clothes and then out to lunch with a friend. she spends $32.94 on some shirts, $15.89 for a belt and $19.99 each for two dresses that are on sale. for lunch, teri has a salad that is $6.95, iced tea for $1.49 and dessert for $3.49. teri pays 7% sales tax on both her shopping items and lunch. she tips her server 15%. how much has teri spent all total for the day? a. $121.52 b. $109.58 c. $107.79 d. $88.19

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