https://r2.erweima.ai/mathbot/image/1723743178933g0fky957.jpg

 which option would you advise the school principal to choose if the estimated distance is to be travel 800 km show calculation

To advise on which option the school principal should choose based on the estimated travel distance of 800 km, I need to first extract the relevant data from the image.

Let me analyze the image to extract the necessary information and perform the calculations.The image contains various penalty options based on additional kilometers traveled. Here's the breakdown of the penalties for each company:

1. **Company A**:
   - 10% penalty for the first 500 km.
   - 15% per additional 100 km.

2. **Company B**:
   - 20% penalty for the first 500 km.
   - 25% per additional 100 km.

3. **Company C**:
   - 30% penalty for the first 500 km.
   - 35% per additional 100 km.

4. **Company D**:
   - 5% penalty for the first 500 km.
   - 5% per additional 100 km.

5. **Company E**:
   - 25% penalty for the first 500 km.
   - 20% per additional 100 km.

Given that the estimated distance to be traveled is 800 km, the distance beyond the initial 500 km is 300 km. This means that the penalties for each company will apply to this additional 300 km.

### Let's calculate the penalty for each company:

#### 1. **Company A**:
- Penalty for first 500 km: 10%
- Additional distance: \(300 \text{ km} \div 100 \text{ km}\) = 3 increments
- Penalty for additional 300 km: \(3 \times 15\%\) = 45%
- **Total penalty for 800 km** = 10% + 45% = **55%**

#### 2. **Company B**:
- Penalty for first 500 km: 20%
- Additional distance: 300 km (3 increments)
- Penalty for additional 300 km: \(3 \times 25\%\) = 75%
- **Total penalty for 800 km** = 20% + 75% = **95%**

#### 3. **Company C**:
- Penalty for first 500 km: 30%
- Additional distance: 300 km (3 increments)
- Penalty for additional 300 km: \(3 \times 35\%\) = 105%
- **Total penalty for 800 km** = 30% + 105% = **135%**

#### 4. **Company D**:
- Penalty for first 500 km: 5%
- Additional distance: 300 km (3 increments)
- Penalty for additional 300 km: \(3 \times 5\%\) = 15%
- **Total penalty for 800 km** = 5% + 15% = **20%**

#### 5. **Company E**:
- Penalty for first 500 km: 25%
- Additional distance: 300 km (3 increments)
- Penalty for additional 300 km: \(3 \times 20\%\) = 60%
- **Total penalty for 800 km** = 25% + 60% = **85%**

### Conclusion:
**Company D** offers the lowest total penalty of **20%** for the estimated travel distance of 800 km. This would be the most cost-effective option for the school principal.

Would you like further details or have any questions?

Here are 8 related questions for further exploration:

1. What factors should be considered beyond the penalty when choosing a transportation company?
2. How would the total penalty change if the distance increased to 900 km?
3. If the estimated distance were only 600 km, how would the penalties compare?
4. Could there be any hidden costs associated with selecting a company with a lower penalty?
5. How might travel conditions or company reputation influence the decision?
6. Is there a scenario where Company C might be a better option despite the higher penalty?
7. What is the importance of understanding penalty structures in contracts?
8. How could the school negotiate better terms with the selected company?

**Tip:** Always review contract terms for any hidden fees or conditions that could affect the total cost, especially when penalties are involved.

Explore the best transportation company choice based on penalty calculations for an 800 km distance. Compare penalty structures of various companies like Company A, B, C, D, and E. Discover which company offers the lowest penalty and is most cost-effective for the school principal.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation