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Mr. Jones has $9,000 to invest in three types of stocks, low-risk, medium-risk, and high-risk. He invests according to three principles. The amount invested in

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Mr. Jones has $9,000 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 $5,000 will be invested in low-and medium-risk stocks. No more than $7,000 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? Mr. Jones should invest $ in low-risk stocks, \$ in medium-risk stocks, and \$ in high-risk stocks

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