Question

Suppose the rate of change of the unit price p of video boards is p'(x) = -- 2400x (x2 +55)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 300 video boards when the unit price is 360 dollars. 2400 + 60 x2 +55 - 2400 V x2 + 5550 1200 V x2 +55 + 90 1200x + 80 X2 + 55 2400x 2 + 70

Answer 1

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Solution P'(x) = – 2400x (x2 +55)2 2400k dP (n) du (x²+55)34 faros el precio Pong 2400x dx J (x²+55) 34 + c x²+55 = t 2x dn=dt -- | 1200 that to .- tc 1200 +*+/ - -3+1 - + 6 Ping = +1200 the + L Proy - 24oot & to