Question

The profit of a company in thousands of dollars is given by the quadratic function P(x) = 3000 + 1200x - 6x2 where x is the amount, in thousands, the company spends on advertising. Find the amount, x, that the company has to spend to maximize its profit.

Answer 1

P(x) = 3000 + 1200x - 6x²

P'(x) = 1200 - 12x

1200 - 12x = 0

- 12x = - 1200

x = 100
Shoutout to @dferreiraalves 


Your answer is: x = 100 

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