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A retail store is considering launching a new product line of clothing. The product line has a projected revenue of $500,000 and an expected cost

A retail store is considering launching a new product line of clothing. The product line has a projected revenue of $500,000 and an expected cost of goods sold of $300,000. The store owner estimates that there is a 40% chance that the product line will be successful, a 30% chance that it will break even, and a 30% chance that it will result in a loss of $100,000. The store owner is risk-averse and has a risk tolerance of $50,000. Calculate the expected value, standard deviation, and coefficient of variation of the net profit for the product line, and provide a recommendation to the store owner based on your calculations.

Note: Assume that all probabilities are independent.

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