Need correct answers now! will mark a recipe calls for 1 1/2 cups of flour, 3/4  cup of white sugar, and 1/3  cup of brown sugar. the recipe makes 6 servings. (a) how many cups of flour are there per serving? show your work. (b) how many total cups of sugar (white and brown) are there per serving? show your work. (c) suppose you modify the recipe so that it makes 9 servings. how much more flour do you need for the modified recipe than you need for the original recipe? show your work. (d): real-world connection: why would someone need to know the amount of sugar per serving?

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