Course: Mathematical Fundamentals Topic: Application of Derivatives in Economic Problems A manufacturer determines that "t" employees will produce a total of "q(t)" units per day, where: 5t + 20 q(t) = 3t2 +100 If demand equation for product (price) is given by: 4500 p(q) = q+10 (a) Determine RATE OF CHANGE of income "I" with respect to "t" workers. b) What is RATE OF CHANGE of income when there are 12 workers?