Sahara M.
asked • 10/27/17I don't understand this question at all
It is estimated that the annual advertising revenue received by a certain newspaper will be
R(x) = 0.5x2 + 3x + 160
thousand dollars when its circulation is x thousand. The circulation of the paper is currently 10,000 and is increasing at a rate of 3,000 per year. At what rate will the annual advertising revenue be increasing with respect to time 2 years from now?
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1 Expert Answer
R(x) = 0.5x2 + 3x + 160
x(t) = 10 + 3t
R(t) = 0.5(10+3t)2 + 3(10+3t) + 160
R(t) = 4.5t2 + 39t + 240
dR(t)/dt = 9t + 39
dR(2)/dt = 9*2 + 39 = 57 K$/yr
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Michael J.
10/27/17