The profit p(x) of a cosmetics company , in thousands of dollars,is given by p(x)=-5x^2+400x-2550, where x is the amount spent on advertising , in thousands of dollars a) determine the max profit the company can make b)Determine the amount spent on adver
a) determine the max profit the company can make
b)Determine the amount spent on advertising that will result in the max profit
c)What amount must be spent on advertising to obtain a profit of at least $4 000 000
Homework Answers
p'(x) = -10x + 400
= 0 for a max of p(x)
10x = 400
x = 40 -----> answer for b)
p(40) = -5(40^2) + 400(40) - 2550 = 5450 -- > a)
for c)
solve
4000 = -5x^2 + 400x - 2550
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The profit p(x) of a cosmetics company , in thousands of dollars,is given by p(x)=-5x^2+400x-2550, where x is the amount spent on advertising , in thousands of dollars a) determine the max profit the company can make b)Determine the amount spent on adver
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