The quantity demanded per month, x, of a certain make of tablet computer is related to the average unit price, p (in dollars), of tablet computers by the equation x = f(p) = 100/9(sqrt810,000-p^2) It is estimated that t months from now, the average price of a tablet computer will be given by p(t) = 400/(1+1/8(sqrt(t)))+ 200 (0 ≤ t ≤ 60) dollars. Find the rate at which the quantity demanded per month of the tablet computers will be changing 25 months from now.
The quantity demanded per month, x, of a certain make of tablet computer is related to the average unit price, p (in dollars), of tablet computers by the equation x = f(p) = 100/9(sqrt810,000-p^2) It is estimated that t months from now, the average price of a tablet computer will be given by p(t) = 400/(1+1/8(sqrt(t)))+ 200 (0 ≤ t ≤ 60) dollars. Find the rate at which the quantity demanded per month of the tablet computers will be changing 25 months from now.
Chapter1: Equations, Inequalities, And Mathematical Modeling
Section1.1: Graphs Of Equations
Problem 9ECP
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The quantity demanded per month, x, of a certain make of tablet computer is related to the average unit price, p (in dollars), of tablet computers by the equation
x = f(p) = 100/9(sqrt810,000-p^2)
It is estimated that t months from now, the average price of a tablet computer will be given by
p(t) = 400/(1+1/8(sqrt(t)))+ 200 (0 ≤ t ≤ 60)
dollars. Find the rate at which the quantity demanded per month of the tablet computers will be changing 25 months from now.
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