The demand for a product of a company varies greatly from month to month. The probability distribution for the company’s monthly demand, based on the past two years of data, is given: Demand: 250 375 425 575 Probability: 0.20 0.35 0.40 0.05. a) What is the expected value of the monthly demand? b) If each unit costs $40 and generates $60 in revenue, how much will the company gain or lose in a month if its production level is based on your answer to a) and the actual demand for the item is 250?

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S5.1. The demand for a product of a company varies greatly from month to month. The probability distribution for the company’s monthly demand, based on the past two years of data, is given:
Demand: 250 375 425 575
Probability: 0.20 0.35 0.40 0.05.
a) What is the expected value of the monthly demand?
b) If each unit costs $40 and generates $60 in revenue, how much will the company gain or lose in a month if its production level is based on your answer to a) and the actual demand for the item is 250?

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