A theater manager graphed weekly profits as a function of the number of patrons and found that the relationship was linear. One week profit was $10,255 when 1330 patrons attended. Another week 1500 patrons produced a profit of $11,700. (a) Find the weekly profit, P(z), where z is the number of patrons. P(z) = (b) How much will profit increase if 1 more patron goes to the theater? s (c) What is the break-even point? In other words, how many patrons are necessary in order to break even? The theater will break-even when there are patrons. (d) If the weekly profit was $15,610, then there were patrons that attended the theater.
A theater manager graphed weekly profits as a function of the number of patrons and found that the relationship was linear. One week profit was $10,255 when 1330 patrons attended. Another week 1500 patrons produced a profit of $11,700. (a) Find the weekly profit, P(z), where z is the number of patrons. P(z) = (b) How much will profit increase if 1 more patron goes to the theater? s (c) What is the break-even point? In other words, how many patrons are necessary in order to break even? The theater will break-even when there are patrons. (d) If the weekly profit was $15,610, then there were patrons that attended the theater.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:A theater manager graphed weekly profits as a function of the number of patrons and found that the relationship was linear. One week
profit was $10,255 when 1330 patrons attended. Another week 1500 patrons produced a profit of $11,700.
(a) Find the weekly profit, P(x), where is the number of patrons.
P(z)
(b) How much will profit increase if 1 more patron goes to the theater? $
(c) What is the break-even point? In other words, how many patrons are necessary in order to break even?
The theater will break-even when there are
patrons.
(d) If the weekly profit was $15,610, then there were
patrons that attended the theater.
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