A new manufacturer of automobiles in Canada has determined that the quantity demanded of their brand new SUV model per day, x (in thousands), is related to the unit price, p, in thousands of dollars, by the equation p(x) = -x² + 6x + 36 3 < x <9 (a) Find the revenue function. (b) Find the number of cars and the corresponding unit price that will result in a maximum revenue. (c) What is the maximum revenue?

Intermediate Algebra
10th Edition
ISBN:9781285195728
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter6: Quadratic Equations And Inequalities
Section6.S: Summary
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A new manufacturer of automobiles in Canada has determined that the quantity
demanded of their brand new SUV model per day, x (in thousands), is related to the
unit price, p, in thousands of dollars, by the equation
p(x) = -x² + 6x + 36
3 <x < 9
(a) Find the revenue function.
(b) Find the number of cars and the corresponding unit price that will result in a
maximum revenue.
(c) What is the maximum revenue?
Transcribed Image Text:A new manufacturer of automobiles in Canada has determined that the quantity demanded of their brand new SUV model per day, x (in thousands), is related to the unit price, p, in thousands of dollars, by the equation p(x) = -x² + 6x + 36 3 <x < 9 (a) Find the revenue function. (b) Find the number of cars and the corresponding unit price that will result in a maximum revenue. (c) What is the maximum revenue?
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