A 4-column table with 5 rows. Column 1 has entries 25 percent, 25 percent, 25 percent, 25 percent, 100 percent. Column 2 has entries 0.25, 0.25, 0.25, 0.25, 1. Column 3 has entries one-fourth, one-fourth, one-fourth, one-fourth, 1. Column 4 has entries 14, 14, 14, 14, 56. Which expressions can you use to find 75% of 56? Check all that apply. 0.25 × 56 Three-fourths × 56 0.75 × 56 One-fourth × 56 3 × 14

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