If the material cost for a job is $6,700, the labor cost is $30/hour per person for a three-person crew to put in four 8-hour days, the overhead for labor is 14%, and the markup for parts is 15%, what is the total cost for this job?

To calculate the total cost of this job, we need to account for the material cost, the labor cost, overhead, and the markup for parts. Let's break this down step by step.

### 1. **Material Cost with Markup**
   The material cost is given as $6,700, and there is a 15% markup on the materials.

   \[
   \text{Material Cost with Markup} = 6700 + (0.15 \times 6700) = 6700 + 1005 = 7705
   \]

### 2. **Labor Cost**
   The labor cost is calculated based on the number of workers, their hourly rate, and the number of hours worked.

   \[
   \text{Labor Cost} = (\text{Hourly Rate}) \times (\text{Number of Workers}) \times (\text{Total Hours})
   \]
   
   - Hourly rate = $30
   - Number of workers = 3
   - Total hours = 4 days × 8 hours/day = 32 hours

   \[
   \text{Labor Cost} = 30 \times 3 \times 32 = 2880
   \]

### 3. **Overhead for Labor**
   Overhead is 14% of the labor cost.

   \[
   \text{Overhead} = 0.14 \times 2880 = 403.20
   \]

### 4. **Total Labor Cost with Overhead**
   Now, add the overhead to the labor cost:

   \[
   \text{Total Labor Cost} = 2880 + 403.20 = 3283.20
   \]

### 5. **Total Cost**
   The total cost includes the material cost (with markup) and the total labor cost (with overhead):

   \[
   \text{Total Cost} = 7705 + 3283.20 = 10988.20
   \]

### Final Answer:
The total cost for this job is **$10,988.20**.

Would you like more details on any part of this calculation?

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Here are 5 questions to further explore related topics:
1. How would the cost change if the hourly rate for the crew increased by 10%?
2. What happens to the total cost if the markup for materials is reduced to 10%?
3. How would adding a fourth worker to the crew impact the total labor cost?
4. If the crew worked an extra day, how much would the total cost increase?
5. What would the total cost be if the overhead rate was 18% instead of 14%?

**Tip**: Always double-check your markup calculations to ensure you apply the correct percentage increase to materials or services.

Learn how to calculate the total cost of a job with material costs, labor costs, a 14% overhead, and a 15% markup on materials. This step-by-step solution breaks down key mathematical concepts including percentages, multiplication, and addition. Suitable for students in Grades 9-12.

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