Mr. Jones has $15,000 to invest in three types of stocks, low-risk, medium-risk, and high-risk. He invests according to three principles. The amount invested in low-risk stocks will be at most $3,000 more than the amount invested in medium-risk stocks. At least $7,000will be invested in low- and medium-risk stocks. No more than $12,000 will be invested in medium- and high-risk stocks. The expected yields are 6 % for low-risk stocks,7% for medium-risk stocks, and 8% for high-risk stocks. How much money should Mr. Jones invest in each type of stock to maximize his total expected yield?
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