https://r2.erweima.ai/mathbot/image/1722564683885pbpgazw5.png

To find the total daily costs for producing 700 units and 1200 units per day, we'll use the given cost-volume formula:

\[ C(x) = 3x + 300 \]

where $ C(x) $ is the total daily cost and $ x $ is the number of units produced.

### For 700 units:
1. Substitute $ x = 700 $ into the formula:
   \[ C(700) = 3(700) + 300 \]

2. Calculate the cost:
   \[ C(700) = 2100 + 300 \]
   \[ C(700) = 2400 \]

So, the total daily cost for producing 700 units is **$2400**.

### For 1200 units:
1. Substitute $ x = 1200 $ into the formula:
   \[ C(1200) = 3(1200) + 300 \]

2. Calculate the cost:
   \[ C(1200) = 3600 + 300 \]
   \[ C(1200) = 3900 \]

So, the total daily cost for producing 1200 units is **$3900**.

**Summary:**
- For 700 units, the cost is $2400.
- For 1200 units, the cost is $3900.

Would you like further details or have any questions?

Here are some related questions for further practice:
1. What is the fixed cost in this cost-volume formula?
2. How would the total cost change if the cost per unit increased?
3. What would the total daily cost be for producing 1000 units?
4. How would the formula change if the fixed cost doubled?
5. What is the cost per unit of production?
6. How would you calculate the total cost for producing 500 units?
7. What is the total cost if no units are produced?
8. How does the total cost change with each additional unit produced?

**Tip:** Understanding the components of a cost-volume formula, like fixed costs and variable costs, helps in analyzing how changes in production levels affect total costs.

Learn how to calculate total daily costs for producing 700 and 1200 units using a cost-volume formula. This problem involves understanding fixed and variable costs in production. Suitable for high school students studying cost analysis.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation