Linear algebra

Question

Suppose you invest $1500 in equipment to put pictures on T-shirts. You buy each T-shirt for $3. After you have placed the picture on a shirt, you sell it for $20. How many T-shirts must you sell to break even?

 

 

Answer 1

20T-3T-1500 (You make 20/shirt, but lose 3/shirt in cost. Initial startup costs are 1500)

 

17T-1500=P, where P is your profit

 

To break even, P=0, you want 17T=1500

 

or T=88.23, so you need to sell at least 89 T-shirts to break even (rounding up because you cannot sell .23 of a shirt)