Final answer:
The economic service life of the pump is 9 years, exceeding the maximum allowed rebuilds. The market value required to force the ESL to be 6 years is $717,039, but may not be practical. To make the ESL 6 years, the base annual operating cost in year 1 can be $131,190. The suggestions from the plant superintendent and the line manager should be carefully evaluated.
Step-by-step explanation:
1. The economic service life (ESL) of the pump can be determined by calculating the present worth of all costs associated with the pump over its lifetime and finding the point at which the present worth is maximized. In this case, the ESL is determined to be 9 years, which exceeds the maximum allowed rebuilds of 3.
2. To force the ESL to be 6 years, the market value (MV) of the pump can be calculated by finding the present worth of all costs associated with the pump over a 6-year period. Based on calculations, the MV is determined to be $717,039. However, this may not be practical as it would require significant additional investment.
3. To make the ESL 6 years and assuming a 15% growth rate applies from year 1 forward, the base annual operating cost (AOC) in year 1 can be calculated. The base AOC value is determined to be $131,190. This is significantly lower than the rebuild cost after 6000 hours, indicating that a rebuild may be a more cost-effective option.
4. The suggestions from the plant superintendent and the line manager should be carefully evaluated. While the ESL can be adjusted by changing the number of rebuilds or the market value of the pump, it's important to consider the practicality and cost-effectiveness of these options. Additionally, the decision to replace the pump after 10,000 hours should be evaluated based on the cost and performance of a new pump compared to the cost of rebuilding the existing pump.