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?

Question

radar · Answer

$$(1/2)x ^{2}$$  or$$1/2x ^{2}$$
which is it?

radar · Answer

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

anonymous · Answer

Okay...sorry, slow pc

anonymous · Answer

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

radar · Answer

OK thats what I thought,  $46,000

anonymous · Answer

Thank you very much