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6. The \( O \) \& \( O \) Manufacturing Company believes they can sell 5,000 steel buildings for \( \$ 1,500 \) each. If the variable costs are \( \$ 1,225 \) per building and the fixed costs are \( \$ 1,000,000 \), (A) would they make a profit and (B) if so, how much?

Ask by Davison Nguyen. in the United States
Jan 22,2025

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Tutor-Verified Answer

Answer

The company will make a profit of \$375,000.

Solution

To determine whether the \( O \& O \) Manufacturing Company will make a profit and, if so, how much, we'll analyze the revenue and costs involved. ### Given Data: - **Number of buildings sold:** 5,000 - **Selling price per building:** \$1,500 - **Variable cost per building:** \$1,225 - **Fixed costs:** \$1,000,000 ### (A) **Will they make a profit?** To find out if the company will make a profit, we need to compare the **total revenue** with the **total costs**. 1. **Total Revenue (TR):** \[ TR = \text{Number of buildings} \times \text{Selling price per building} = 5,000 \times \$1,500 = \$7,500,000 \] 2. **Total Variable Costs (TVC):** \[ TVC = \text{Number of buildings} \times \text{Variable cost per building} = 5,000 \times \$1,225 = \$6,125,000 \] 3. **Total Costs (TC):** \[ TC = TVC + \text{Fixed costs} = \$6,125,000 + \$1,000,000 = \$7,125,000 \] 4. **Profit (or Loss):** \[ \text{Profit} = TR - TC = \$7,500,000 - \$7,125,000 = \$375,000 \] Since the total revenue (\$7,500,000) exceeds the total costs (\$7,125,000), the company **will make a profit**. ### (B) **How much profit will they make?** As calculated above, the **profit** is: \[ \$375,000 \] --- **Summary:** - **(A)** Yes, the company will make a profit. - **(B)** The profit amount is \$375,000.

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The Deep Dive

To find out if the \( O \) \& \( O \) Manufacturing Company would make a profit, we first need to determine the total revenue and total costs. The total revenue from selling 5,000 buildings at \( \$ 1,500 \) each is \( 5,000 \times 1,500 = \$ 7,500,000 \). Next, the total variable costs would be \( 5,000 \times 1,225 = \$ 6,125,000 \). Adding the fixed costs of \( 1,000,000 \), the total costs amount to \( 6,125,000 + 1,000,000 = \$ 7,125,000 \). Now, subtract total costs from total revenue: \( 7,500,000 - 7,125,000 = \$ 375,000 \). So they would indeed make a profit of \( \$ 375,000 \). They can also consider scaling up to increase profits, but it's crucial to keep an eye on market demand. With production ramp-up, they may face increased variable costs or potential market saturation. Always run a risk assessment to avoid pitfalls!

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