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The owner of a skating rink rents the rink for parties at $800 if 40 or fewer skaters attend, so that the cost per person is $20 if 40 attend. For each 5 skaters above 40, she reduces the price per skater by $0.50. (a) Construct a table that gives the revenue generated if 40, 50, and 60 skaters attend. No. of skaters Total Revenue Price per Skater 40 50 60 20 19 18 ✓ ✓ $ 800 $950 $ 1080 (b) Does the owner's revenue from the rental of the rink increase or decrease as the number of skaters increases from 40 to 60? o The revenue increases. The revenue decreases. (c) Write the equation that describes the revenue for parties with x groups of five skaters more than 40 skaters. R(x)=(20-0.5x) (40+5x)✔ (d) Find the number of skaters that will maximize the revenue. skaters (e) Find the maximum revenue. $ (f) When the revenue is at the maximum possible, what price is paid per skater? $

The owner of a skating rink rents the rink for parties at $800 if 40 or fewer skaters attend, so that the cost per person is $20 if 40 attend. For each 5 skaters above 40, she reduces the price per skater by $0.50. (a) Construct a table that gives the revenue generated if 40, 50, and 60 skaters attend. No. of skaters Total Revenue Price per Skater 40 50 60 20 19 18 ✓ ✓ $ 800 $950 $ 1080 (b) Does the owner's revenue from the rental of the rink increase or decrease as the number of skaters increases from 40 to 60? o The revenue increases. The revenue decreases. (c) Write the equation that describes the revenue for parties with x groups of five skaters more than 40 skaters. R(x)=(20-0.5x) (40+5x)✔ (d) Find the number of skaters that will maximize the revenue. skaters (e) Find the maximum revenue. $ (f) When the revenue is at the maximum possible, what price is paid per skater? $

Advanced Engineering Mathematics
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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The owner of a skating rink rents the rink for parties at $800 if 40 or fewer skaters attend, so that the cost per person is $20 if 40 attend. For each 5 skaters above 40, she reduces the price per skater by $0.50. (a) Construct a table that gives the revenue generated if 40, 50, and 60 skaters attend. No. of skaters Total Revenue 40 50 60 20 19 18 Price per Skater $800 $950 $ 1080 (b) Does the owner's revenue from the rental of the rink increase or decrease as the number of skaters increases from 40 to 60? lo The revenue increases. The revenue decreases. (c) Write the equation that describes the revenue for parties with x groups of five skaters more than 40 skaters. R(x) = (20-0.5x) (40+5x) (d) Find the number of skaters that will maximize the revenue. skaters (e) Find the maximum revenue. $ (f) When the revenue is at the maximum possible, what price is paid per skater? $
Transcribed Image Text:The owner of a skating rink rents the rink for parties at $800 if 40 or fewer skaters attend, so that the cost per person is $20 if 40 attend. For each 5 skaters above 40, she reduces the price per skater by $0.50. (a) Construct a table that gives the revenue generated if 40, 50, and 60 skaters attend. No. of skaters Total Revenue 40 50 60 20 19 18 Price per Skater $800 $950 $ 1080 (b) Does the owner's revenue from the rental of the rink increase or decrease as the number of skaters increases from 40 to 60? lo The revenue increases. The revenue decreases. (c) Write the equation that describes the revenue for parties with x groups of five skaters more than 40 skaters. R(x) = (20-0.5x) (40+5x) (d) Find the number of skaters that will maximize the revenue. skaters (e) Find the maximum revenue. $ (f) When the revenue is at the maximum possible, what price is paid per skater? $
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