9. You have just opened a new nightclub, Feel The Beat, but you are unsure how much to charge for the cover charge (entrance fee). One week you charged $9 cover per guest and averaged 372 guests per night. The next week you charged $20 per guest and averaged 240 guests per night. a. Find the linear demand equation showing the number of guests g per night as a function of the cover charge p. b. Express the revenue as a function of the cover charge. c. What is the largest possible revenue? d. Determine how many guests you need to get the largest revenue.

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter3: Graphing Linear Functions
Section: Chapter Questions
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9. You have just opened a new nightclub, Feel The Beat, but you are
unsure how much to charge for the cover charge (entrance fee).
One week you charged $9 cover per guest and averaged 372
guests per night. The next week you charged $20 per guest and
averaged 240 guests per night.
a. Find the linear demand equation showing the number of
guests g per night as a function of the cover charge p.
b. Express the revenue as a function of the cover charge.
c. What is the largest possible revenue?
d. Determine how many guests you need to get the largest
revenue.
Transcribed Image Text:9. You have just opened a new nightclub, Feel The Beat, but you are unsure how much to charge for the cover charge (entrance fee). One week you charged $9 cover per guest and averaged 372 guests per night. The next week you charged $20 per guest and averaged 240 guests per night. a. Find the linear demand equation showing the number of guests g per night as a function of the cover charge p. b. Express the revenue as a function of the cover charge. c. What is the largest possible revenue? d. Determine how many guests you need to get the largest revenue.
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