Rate of quantity demanded

timer Asked: Feb 21st, 2013

Question description

The quantity demanded per month, x, of a certain make of personal computer (PC) is related to the average unit price, p (in dollars), of PCs by the equation
x = f(p) = 100/9 √(810,000-p^2)

It is estimated that t mo from now, the average price of a PC will be given by
p(t) =400/1+(1/8)√(t)+200

dollars. Find the rate at which the quantity demanded per month of the PCs will be changing 36 mo from now. (Round your answer to one decimal place.) 

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