1. Lumyn Electronics is currently renting their store space from Quality Holdings Corp. Quality Holdings owns a total of 250 commercial properties available for rent. The company's monthly profit, P, in dollars, is given by the equation P(n) = -8n2 + 3,200n - 80,000 where n is the number of properties rented during a particular month.
a) Would renting out all of the available properties maximize Quality Holdings' profit?
b) If not, what is the optimum number of properties that the company must have rented in order to maximize its profit?