A manufacturing company is considering investing in a new piece of equipment to improve their production process.
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Question:
A manufacturing company is considering investing in a new piece of equipment to improve their production process. The equipment will cost $300,000, and the company expects to generate an additional profit of $80,000 per year for the next five years if the investment is successful. However, the investment comes with some risk, and the company wants to evaluate the risk associated with this investment. The following information is available:
- There is a 40% chance that the investment will be successful, and the additional profit will be $80,000 per year.
- There is a 50% chance that the investment will be moderately successful, and the additional profit will be $50,000 per year.
- There is a 10% chance that the investment will fail, and the company will lose $50,000 per year.
The company's required rate of return for this investment is 8%. Calculate the expected value, standard deviation, and coefficient of variation for this investment. Based on these calculations, should the company invest in this project?
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