Final answer:
Sarah's profit from selling shirts is calculated by subtracting the costs (purchase and return charges) from her sales revenue, resulting in a total profit of $153.
Step-by-step explanation:
To calculate Sarah's profit from selling shirts, we must consider the total cost of the shirts, the revenue from selling the shirts, and the costs associated with returns.
- First, calculate the total cost of the shirts by multiplying the number of shirts ordered by the cost per shirt: 34 shirts × $7 = $238.
- Then, calculate the total revenue by multiplying the number of shirts sold by the selling price per shirt. Sarah sold 27 shirts at $15 each, resulting in a revenue of 27 × $15 = $405.
- Next, consider the returned shirts. Sarah had to return 7 shirts. For each returned shirt, there is a $2 charge. So, the cost for returns is 7 × $2 = $14.
- Calculate the profit by subtracting the total costs (initial cost + return charges) from the total revenue. Profit = $405 - ($238 + $14) = $405 - $252 = $153.
Therefore, Sarah's profit from the shirt business is $153.