The Lakewood basketball team is selling T-shirts for a fundraiser. The shirts cost 100 for each printing design and set up plus $10 per shirt. The team is going to sell the shirts for $15 each. How many shirts do they need to sell to break even
The total cost to print and set up the shirts is $100, plus $10 per shirt. So the cost per shirt is $100 + $10 = $110.
The team will sell the shirts for $15 each.
To break even, the team needs to sell enough shirts to cover their total costs. Let's call the number of shirts they need to sell to break even "x".
The total revenue from selling x shirts will be $15 * x.
The total cost of printing and setting up x shirts will be $110 * x.
To break even, the total revenue must equal the total cost:
$15x = $110x + $100
Subtract $110x from both sides:
$15x - $110x = $110x - $110x + $100
-$95x = $100
Divide both sides by -95:
x = $100 / -$95
x = -1.05
Since you cannot sell a negative number of shirts, it is not possible to break even based on the given prices for the shirts.