Organizers of an outdoor summer concert in Toronto are concerned about the weather conditions on the day of the concert. They will make a profit of $25,000$25,000 on a clear day and $10,000$10,000 on a cloudy day. They will take a loss of $5,000$5,000 if it rains. The weather channel has predicted a 60%60% chance of rain on the day of the concert. Calculate the expected profit from the concert if the likelihood is 10%10% that it will be sunny and 30%30% that it will be cloudy.