2 A retailer of Petroleum products sells a random amount X m

(2). A retailer of Petroleum products sells a random amount X measured in thousands of gallons with pdf The retailer makes a $100 profit for each 1000 gallons sold if he sells g(x) = 100x and makes $140 profit for selling between 1000 and 2000 gallons. Thus, his profit is Find the retailer\'s expected profit. Hint: Expected profit = integrate 0 1 100xf(x) dx + integrate 1 2 140xf(x) dx