3. The profit P (in dollars) made by a cinema from selling x bags of popcorn can be x2 modeled by P = 2.36x – 3500, 0

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter6: Fractions
Section6.7: Polynomial Long Division
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3. The profit P (in dollars) made by a cinema from selling x bags of popcorn can be
x2
modeled by P = 2.36x -
3500, 0<x < 50,000.
25,000
a. Find the open intervals on which P is increasing and decreasing.
b. If you owned the cinema, how many bags of popcorn would you want to sell in
order to maximize the profit? Explain your reasoning.
Transcribed Image Text:3. The profit P (in dollars) made by a cinema from selling x bags of popcorn can be x2 modeled by P = 2.36x - 3500, 0<x < 50,000. 25,000 a. Find the open intervals on which P is increasing and decreasing. b. If you owned the cinema, how many bags of popcorn would you want to sell in order to maximize the profit? Explain your reasoning.
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