Let x represent the number of t-shirts that must be produced.
The cost per t-shirt is given by:
Cost per t-shirt = (Setup fee + (cost per t-shirt * number of t-shirts)) / number of t-shirts
Plugging in the values:
$5.33 = ($200 + ($5 * x)) / x
Multiplying both sides by x:
$5.33x = $200 + $5x
Rearranging the equation:
$5.33x - $5x = $200
$0.33x = $200
Dividing by 0.33 on both sides:
x = $200 / $0.33
x = 606.06 t-shirts
Therefore, approximately 607 t-shirts must be produced so that the total cost per t-shirt is $5.33.
A custom t-shirt company charges a $200 setup fee and $5 per t-shirt. Write an equation that can be used to determine how many t-shirts must be produced so that the total cost per t-shirt is $5.33?
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