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

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