It costs a manufacturer $7.95 to produce sunglasses that sell for $21.99. How many pairs of sunglasses must the manufacturer sell to make a profit of $10,530?
1 pairs of sunglasses
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To determine how many pairs of sunglasses the manufacturer must sell to make a profit of $10,530, we need to calculate the profit made per pair.
Profit per pair = Selling price - Cost price
Profit per pair = $21.99 - $7.95
Profit per pair = $14.04
Now, we can calculate the number of pairs needed to make a profit of $10,530.
Number of pairs = Profit required / Profit per pair
Number of pairs = $10,530 / $14.04
Number of pairs ≈ 750 pairs
Therefore, the manufacturer must sell approximately 750 pairs of sunglasses to make a profit of $10,530.
To find out how many pairs of sunglasses the manufacturer must sell to make a profit of $10,530, we need to determine the profit per pair of sunglasses first.
The profit per pair of sunglasses is calculated by subtracting the cost to produce each pair from the selling price of each pair.
Profit per pair = Selling price per pair - Cost per pair
Profit per pair = $21.99 - $7.95
Profit per pair = $14.04
Next, we divide the desired profit of $10,530 by the profit per pair to find out how many pairs need to be sold.
Number of pairs = Desired profit / Profit per pair
Number of pairs = $10,530 / $14.04
Using a calculator:
Number of pairs = 749.2892
Therefore, the manufacturer needs to sell approximately 750 pairs of sunglasses to make a profit of $10,530.