The size of a manufactured part is a normal random variable with mean 100 and variance 25. If the size is between 95 and 110, the parts can be sold at a profit of $50 each. If the size exceeds 110, the part must be reworked and a net profit of $10 is made per part. A part whose size is less than 95 must be scrapped at a loss of $20. What is the expected profit for this process?