You are managing a computer chip manufacturer. Your machinery produces chips normally distributed with an average chip speed of 8 gigahertz (ghz) and a standard deviation of 0.5 ghz. The cost of production is $100 per chip. Chips with speeds from 7 to 9 ghz are sold for $125 per chip; faster chips are sold for $150 each; slower chips must be discarded at a cost of $1 each. The company produces 1 million chips per year. What is the expected profit? Please show work.