Question

A manufacturer believes that the net profit P is related to the advertising expenditure x (both in thousands of dollars by P(x)=10+46x-1/2x^2. What advertising expenditure will maximize the profit?

Answer 1

\[(1/2)x ^{2}\] or\[1/2x ^{2}\]
which is it?

Answer 2

going with the first

dP/dx =-x+46 let =0, then x=46 (thousand dollars)

Answer 3

Okay...sorry, slow pc

Answer 4

P(x)=10+46x-1/2x^2

That is (-1/2x)^2

Answer 5

OK thats what I thought, $46,000

Answer 6

Thank you very much