A dental clinic employs two hygienists, each of which work an 8-hour shift. Hygienist A can treat 12 patients per shift, and earns $30/hour. Hygienist B can treat 10 patients per shift, and earns $20/hour. Assume that both hygienists provide the same quality of care, and exhibit diminishing marginal productivity throughout the course of the shift. For simplicity, assume that all patients are identical. a) What is the average product for each hygienist? Show your work. b) Based only on the information above, it can be assumed that Hygienist A will spend more than _______ minutes treating their final patient of the day. Show your work and briefly explain.