Question 183984
{{{p(x)= -2x^2 + 52x + 30}}}
When he equation is of the form
{{{y = ax^2 + bx + c}}}, the maximum occurs at
{{{x = (-b)/(2a)}}}
{{{b = 52}}}
{{{a = -2}}}
{{{x = (-b)/(2a) = (-52)/(2*(-2))}}}
{{{x = 13}}}
13 gizmos must be sold to maximize profit
I'll plot it
{{{ graph( 500, 500, -6, 30, -10, 400, -2x^2 + 52x + 30) }}}