Question 6194
{{{C(x) = 2x^2 – 40x + 250 }}}
if the cost is minimized, then it will equal zero:
{{{0 = 2x^2 – 40x + 250 }}}
divide both sides by 2:
{{{0=x^2-20x+125}}}
factor:
{{{(x+5)(x-25)}}}
x=-5 or 25
since we are talking about producing an item, we cannot produce negative items, so we can discard the -5 answer.

costs will be minimized if 25 units or more are produced.