The total profit of a firm is given by
Profit = Total Revenue - Total Cost
Suppose that Total Revenue = 120Q and Total Cost = 20 + 50Q where Q, the quantity sold, is a (approximately) normal random variable with expected value 30 and variance 5. That is Qis N(30,5)
What is the expected value of total profit?
What is the variance of total profit?
What is the standard deviation of total profit?