Question 211214
The cost (C) of producing x-hundreds of skateboards a day is given by:
{{{C = 0.89x^2-9.32x+3677}}}
The minimum point of this equation (a parabola) occurs at the vertex of the parabola.  The x-coordinate of the vertex of this parabola is given by:
{{{x = (-b)/2a}}} where a = 0.89, and b = -9.32, so...
{{{x = (-(-9.32))/2(0.89)}}} Evaluate.
{{{x = 5.24}}} Rounded to the nearest hundreth.
Since x is in hundreds of skateboards, multiply this by 100 to get:
A daily production level of 524 skate boards daily will minimize the cost.