A gas station owner has a daily demand of 100X gallons of gas. (Note that X = .5 represents a demand of 50 gallons.) The distribution of daily demand is as follows:
The owner's profit is $10 for each 100 gallons sold if , and $15 per 100 gallons if . Find the retailer's expected profit for any given day.
I know I am looking for
How do I incorporate the profit into this integral?