Question 1059344
{{{ R(P) = 110P - .25P^2 }}}
Use the formula for the vertex
of a parabola, {{{ P[v] = -b/(2a) }}}
{{{ a = -.25 }}}
{{{ b = 110 }}}
{{{ P[v] = -110/( 2*(-.25)) }}}
{{{ P[v] = 110/.5 }}}
{{{ P[v] = 220 }}}
$220 gives the maximum revenue
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check:
{{{ R(220) = 110*220 - .25*220^2 }}}
{{{ R(220) =  24200 - 12100 }}}
{{{ R(220) = 12100 }}}
The maximum revenue is $12,100
Here's the plot:
{{{ graph( 500, 500, -100, 500, -1500, 15000, -.25x^2 + 110x ) }}} 
Looks about right