The city of Winnipeg is considering whether to build a new public ice rink. This rink would have a capacity of 800 ice skaters per day, and the proposed admission fee is $6 per individual per day. The estimated cost of the ice rink, averaged over the life of the rink, is $4 per ice skater per day. The city of Winnipeg has hired you to assess this project. Fortunately, Ottawa already has an ice rink, and the city of Ottawa has randomly varied the price of that rink to find how price affects usage. The results from their study follow: Ice rink price Number of ice skaters per day $8 $10 $4 $6 $2 per day 500 200 1100 800 1400 a. If the ice rink is built as planned, what would be the net benefit per day from the ice rink? What is the consumer surplus for ice skaters? b. Given this information, is an 800-ice rink the optimally sized ice rink for Winnipeg to build? Explain.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter5: Network Models
Section5.3: Assignment Models
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The city of Winnipeg is considering whether to build a new public ice rink. This rink would
have a capacity of 800 ice skaters per day, and the proposed admission fee is $6 per
individual per day. The estimated cost of the ice rink, averaged over the life of the rink, is
$4 per ice skater per day.
The city of Winnipeg has hired you to assess this project. Fortunately, Ottawa already has
an ice rink, and the city of Ottawa has randomly varied the price of that rink to find how
price affects usage. The results from their study follow:
Ice rink price Number of ice skaters
per day
$8
$10
$4
$6
$2
per day
500
200
1100
800
1400
a. If the ice rink is built as planned, what would be the net benefit per day from the ice
rink? What is the consumer surplus for ice skaters?
b. Given this information, is an 800-ice rink the optimally sized ice rink for Winnipeg to
build? Explain.
Transcribed Image Text:The city of Winnipeg is considering whether to build a new public ice rink. This rink would have a capacity of 800 ice skaters per day, and the proposed admission fee is $6 per individual per day. The estimated cost of the ice rink, averaged over the life of the rink, is $4 per ice skater per day. The city of Winnipeg has hired you to assess this project. Fortunately, Ottawa already has an ice rink, and the city of Ottawa has randomly varied the price of that rink to find how price affects usage. The results from their study follow: Ice rink price Number of ice skaters per day $8 $10 $4 $6 $2 per day 500 200 1100 800 1400 a. If the ice rink is built as planned, what would be the net benefit per day from the ice rink? What is the consumer surplus for ice skaters? b. Given this information, is an 800-ice rink the optimally sized ice rink for Winnipeg to build? Explain.
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