Day trader wishes to invest a sum of money which would create an annual yield of at least $10000. Two stock groups are available: blue chips and high tech, with the average annual yields of 10% and 25%, respectively. Though high-tech stocks offer the higher yield, they are more risky, and trader wishes to limit amount invested within these stocks to no more than 60% of total investment. Specify the minimum amount Trader must invest in each stock group in order to achieve the investment goal?