Question
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Wireless earbuds are sold for per pair
f a total of in general expenses
lus per pair are spent manufacturin
he earbuds, how many pairs must be sol
o make at least profit?

Ask by Jimenez Schultz. in the United States
Jan 03,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

To make at least $9,000 in profit, you need to sell 211 pairs of wireless earbuds.

Solution

Let’s break down the problem step by step to determine how many pairs of wireless earbuds need to be sold to achieve at least $9,000 in profit.

Given:

  • Selling Price per Pair: $75
  • Manufacturing Cost per Pair: $25
  • Total General Expenses: $1,521
  • Desired Profit: $9,000

Step 1: Calculate Profit per Pair

First, determine the profit made from each pair of earbuds:

Step 2: Establish the Total Profit Equation

The total profit ( ) can be calculated using the formula:
Plugging in the known values:

Step 3: Solve for (Number of Pairs)

Since you can’t sell a fraction of a pair, you’ll need to round up to ensure the profit meets or exceeds $9,000.

Conclusion:

You need to sell 211 pairs of wireless earbuds to achieve at least $9,000 in profit.

Answered by UpStudy AI and reviewed by a Professional Tutor

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Beyond the Answer

To calculate how many pairs of wireless earbuds you need to sell to make at least profit, you start with your profit goal. The total cost per pair includes (selling price) and (manufacturing cost), resulting in a total expense of per pair. Adding in general expenses means you need to account for fixed costs. Your target profit of means you need total revenue to exceed total costs by that amount. Set up the equation to find .
Once you solve for , you’ll find that you need to sell at least pairs of earbuds to reach your goal. Always remember that setting clear goals helps clarify your path to success, especially in business!

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