Question 24683
$420 is the cost of materials to make all the dolls
$5 is the cost in labor to make one doll
Let x = number of dolls made to break even (cost of production = income)
5 * x = labor cost to make all the dolls
(materials cost) + (labor cost) / number of dolls = price per doll
{{{(240 + (5 * x)) / x = 12}}}
{{{(240 + (5 * x)) = 12 * x}}}
{{{7 * x = 420}}}
{{{x = 60}}}
check
{{{(420 + (5 * 60)) / 60 = 12}}}
{{{ (420 + 300) / 60 = 12}}}
{{{ 720 / 60 = 12}}}
checks OK
make 60 dolls to break even