Question 945757
Profit, P is  {{{P=R-C}}},
{{{P(x)=41x-(9x+14525)}}}, and to ensure {{{P>0}}} you want the inequality using domain of natural numbers:  {{{41x-9x-14525>0}}}.


{{{32x>14525}}}
{{{x>14525/32}}}


{{{x>453.9}}}, and because we must have a natural number, we want to round UP, not down; because rounding down will give us a number not great enough for the inequality.

{{{highlight(x>=454)}}}.