The maintenance foreman of a plant in reviewing his records found that maintenance costs on a large press had increased with sales of a product that will decline in the future. 4 years ago 3 years ago 2 years ago $550 650 750 Last year 850 He believes that maintenance will be $950 this year and will decrease by $50 yearly for 4 years. What will be the equivalent uniform annual maintenance cost for the 9-year period? Assume interest at 7%.

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Chapter1: Making Economics Decisions
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### Maintenance Cost Analysis Over a 9-Year Period

#### Summary:
The maintenance foreman of a plant, upon reviewing his records, observed that the maintenance costs for a large press had increased in alignment with the sales of a product. However, these sales are expected to decline in the future.

#### Historical Maintenance Costs:
- **4 years ago: $550**
- **3 years ago: $650**
- **2 years ago: $750**
- **Last year: $850**

#### Future Projections:
The foreman forecasts that the maintenance cost will be $950 for the current year and will decrease by $50 yearly for the following 4 years.

#### Equivalent Uniform Annual Maintenance Cost Calculation:
To determine the equivalent uniform annual maintenance cost for the 9-year period, we will consider the interest rate of 7%.

Assuming the yearly maintenance cost is given as follows:
1. 4 years ago: $550
2. 3 years ago: $650
3. 2 years ago: $750
4. Last year: $850
5. This year: $950
6. Year 1 (After this year): $900
7. Year 2: $850
8. Year 3: $800
9. Year 4: $750

For a comprehensive understanding and calculation, these costs will be equalized over the 9-year period considering the interest rate of 7%.

*[Note: The detailed calculation of the equivalent uniform annual cost using formulas related to present value and annuities would typically be shown here, demonstrating the financial analysis process.]*

For example, using the formula for the present value of an annuity and considering the decreasing annual amount, the calculations would help in determining a stable, uniform cost spread over the entire duration.

#### Diagrams and Graphs:
If applicable, graphs or visual aids illustrating the maintenance cost trends over the years and projected future costs would be included here to provide a visual representation of the data.

### Conclusion:
Understanding and predicting maintenance costs over a long period involves not only historical data but also future projections and financial principles of interest rates. The foreman's analysis will help in better budget planning and resource allocation for the plant.
Transcribed Image Text:### Maintenance Cost Analysis Over a 9-Year Period #### Summary: The maintenance foreman of a plant, upon reviewing his records, observed that the maintenance costs for a large press had increased in alignment with the sales of a product. However, these sales are expected to decline in the future. #### Historical Maintenance Costs: - **4 years ago: $550** - **3 years ago: $650** - **2 years ago: $750** - **Last year: $850** #### Future Projections: The foreman forecasts that the maintenance cost will be $950 for the current year and will decrease by $50 yearly for the following 4 years. #### Equivalent Uniform Annual Maintenance Cost Calculation: To determine the equivalent uniform annual maintenance cost for the 9-year period, we will consider the interest rate of 7%. Assuming the yearly maintenance cost is given as follows: 1. 4 years ago: $550 2. 3 years ago: $650 3. 2 years ago: $750 4. Last year: $850 5. This year: $950 6. Year 1 (After this year): $900 7. Year 2: $850 8. Year 3: $800 9. Year 4: $750 For a comprehensive understanding and calculation, these costs will be equalized over the 9-year period considering the interest rate of 7%. *[Note: The detailed calculation of the equivalent uniform annual cost using formulas related to present value and annuities would typically be shown here, demonstrating the financial analysis process.]* For example, using the formula for the present value of an annuity and considering the decreasing annual amount, the calculations would help in determining a stable, uniform cost spread over the entire duration. #### Diagrams and Graphs: If applicable, graphs or visual aids illustrating the maintenance cost trends over the years and projected future costs would be included here to provide a visual representation of the data. ### Conclusion: Understanding and predicting maintenance costs over a long period involves not only historical data but also future projections and financial principles of interest rates. The foreman's analysis will help in better budget planning and resource allocation for the plant.
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