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 equationP(n) = -8n2 + 3,200n – 80,000where 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?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter8: Polynomials
Problem 71PFA
Topic Video
Question

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?

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