The profit P (in hundreds of dollars) that a company makes depends on the amount » (in hundreds of dollars) the company spends on advertising according to the model P = 270 + 80x – 0.5x^2. What expenditure for advertising yields a maximum profit?

Nadia Smith

Nadia Smith

Answered question

2022-09-04

The profit P (in hundreds of dollars) that a company makes depends on the amount » (in hundreds of dollars) the company spends on advertising according to the model P = 270 + 80 x 0.5 x 2 . What expenditure for advertising yields a maximum profit?

Answer & Explanation

yamalwg

yamalwg

Beginner2022-09-05Added 17 answers

P = 270 + 80 x 0.5 x 2 x = b 2 a = 80 2 x ( 0.5 ) = 80
maximum profit = 80 × 100 = 8000  dollars

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