A man buys a racehorse for $20 comma 00020,000 and enters it in two races. He plans to sell the horse afterward, hoping to make a profit. If the horse wins both races, its value will jump to $70 comma 00070,000. If it wins one of the races, it will be worth $45 comma 00045,000. If it loses both races, it will be worth only $10 comma 00010,000. The man believes there is a 3030% chance that the horse will win the first race and a 3535% chance that it will win the second one. Assuming that the two races are independent events, find the man's expected profit.