The profit of articles sold, denoted by P(x), in hundreds of dollars through TV advertising is modeled by P(x) = 3x - 2 e^(0.2x) + 5 for 0 <= x <= 15, where x is the amount of money spent on TV advertising.
Find the minimum profit of articles sold through TV advertising.
A differentiation question
2012-10-26 5:55 am
回答 (1)
2012-10-26 6:02 am
✔ 最佳答案
P(x) = 3x - 2 e^(0.2x) + 5P'(x) = 3 - 0.4exp(0.2x)
P''(x) = -0.08exp(0.2x) < 0 fro all x
Set P'(x) = 0 => 3 - 0.4exp(0.2x) = 0
x = 10.0445
So, the minimum profit of articles sold through TV advertising is 20.2215
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