Suppose the rate of change of the unit price p of video boards is 2700x p'(x) = - (x² + 77)3/2 where x is the number of hundreds of video boards that the supplier will make available to the market daily and p is in dollars. Find the supply equation p(x) for the video boards if the quantity the supplier is willing to make available is 200 video boards when the unit price is 350 dollars. 2700 + 80 Vx + 77 2700x + 40 V + + 77 1350x + 70 V x + 77 1350 + 60 + 77

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.4: Average Rate Of Change Of A Function
Problem 1E: If you travel 100 miles in two hours, then your average speed for the trip is Average...
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Question
Suppose the rate of change of the unit price p of video boards is
2700x
p'(x) = -
(x2
+ 77)3/2
where x is the number of hundreds of video boards that the supplier will make available to the market daily and p is in
dollars. Find the supply equation p(x) for the video boards if the quantity the supplier is willing to make available is 200
video boards when the unit price is 350 dollars.
2700
+ 80
x2 + 77
2700x
+ 40
x + 77
1350x
+ 70
x² + 77
1350
+ 60
x + 77
2700
+ 50
x + 77
Transcribed Image Text:Suppose the rate of change of the unit price p of video boards is 2700x p'(x) = - (x2 + 77)3/2 where x is the number of hundreds of video boards that the supplier will make available to the market daily and p is in dollars. Find the supply equation p(x) for the video boards if the quantity the supplier is willing to make available is 200 video boards when the unit price is 350 dollars. 2700 + 80 x2 + 77 2700x + 40 x + 77 1350x + 70 x² + 77 1350 + 60 x + 77 2700 + 50 x + 77
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