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?
dealing w/- subst. and elimin.
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To break even, you need to cover your initial investment of $1500. Let's calculate the number of t-shirts you must sell to achieve this.
First, let's determine the cost of producing each t-shirt. You buy each t-shirt for $3 and incur additional costs for placing the picture on it, which we'll assume to be negligible for simplicity.
Thus, the cost of production per t-shirt is $3.
Next, we need to determine the profit margin on each t-shirt. You sell each t-shirt for $20, so the profit per t-shirt is $20 - $3 = $17.
Now, we can calculate the number of t-shirts you need to sell to break even:
Break-even point (in dollars) = Initial investment
Break-even point (in t-shirts) = Break-even point (in dollars) / Profit per t-shirt
Break-even point (in t-shirts) = $1500 / $17
Using long division, we can calculate the number of t-shirts you must sell to break even:
88 (number of t-shirts)
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$170 (remainder)
Therefore, you would need to sell 88 t-shirts to break even.