y equals his income minus s effort cost. incentives to Arthur to create better videos and attract more viewers, YouTube decides to pay Arthur a bonus b for eac e also has an operational cost 30 ational cost= 32 s the cost of maintaining its internet servers and administrative staf. YouTube's profit equals the ad revenue minus the ind the bonus b that maximizes YouTube's profit. timal bonus is b 02

Survey Of Economics
10th Edition
ISBN:9781337111522
Author:Tucker, Irvin B.
Publisher:Tucker, Irvin B.
Chapter1: Introducing The Economic Way Of Thinking
Section1.A: Applying Graphs To Economics
Problem 2SQP
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QUESTION 10
YouTube generates revenue by showing ads to consumers who watch videos on its website. Suppose that, for each person watching a video, YouTube receives one
dollar in ad revenues (P=1).
Arthur is a professional video-game player. He plays the video-game "Fortnite" and uploads his video to YouTube. The number of people who will watch his video
depends on Arthur's effort producing the video and increasing its quality. The number Q of viewers as a function of Arthur's effort "e" is given by the function Q= Be.
Arthur's offort cost is 202.
His utility equals his income minus ys effort cost.
To give incentives to Arthur to create better videos and attract more viewers, YouTube decides to pay Arthur a bonus b for each person watching his video.
YouTube also has an operational cost
30
Operational cost -
32
which is the cost of maintaining its internet servers and administrative staff. YouTube's profit equals the ad revenue minus the payment to Arthur and the operational
cost. Find the bonus b* that maximizes YouTube's profit.
The optimal bonus is b 02
Transcribed Image Text:QUESTION 10 YouTube generates revenue by showing ads to consumers who watch videos on its website. Suppose that, for each person watching a video, YouTube receives one dollar in ad revenues (P=1). Arthur is a professional video-game player. He plays the video-game "Fortnite" and uploads his video to YouTube. The number of people who will watch his video depends on Arthur's effort producing the video and increasing its quality. The number Q of viewers as a function of Arthur's effort "e" is given by the function Q= Be. Arthur's offort cost is 202. His utility equals his income minus ys effort cost. To give incentives to Arthur to create better videos and attract more viewers, YouTube decides to pay Arthur a bonus b for each person watching his video. YouTube also has an operational cost 30 Operational cost - 32 which is the cost of maintaining its internet servers and administrative staff. YouTube's profit equals the ad revenue minus the payment to Arthur and the operational cost. Find the bonus b* that maximizes YouTube's profit. The optimal bonus is b 02
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