Describe what is the probability that you will make money, Operation Management

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The owner of Firewood To Go is considering buying a hydraulic wood splitter which sells for $50000. He figures it will cost an additional $100 per cord to purchase and split wood with this machine, while he can sell each cord of split wood for $120.

Demand for cords of wood can be modeled by using a Normal Distribution with a Mean of 2400 units and a Standard Deviation of 100 units. What is the Probability that you will make money using this machine?

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