The owner of Firewood-2-Go is considering buying a hydraulic wood splitter which sells for $50000. He figures it will cost an additional $80 per cord to purchase and split wood with this machine, while he can sell each cord of split wood for $100.
Demand for cords of wood can be modelled by using a Normal Distribution with a Mean of 2560 units and a Standard Deviation of 60 units. What is the Probability that you will make money using this machine?