Find club must invest in stock if investment goal is given


The private investment club has $180,000 allotted for investment in stocks. To arrive at the acceptable overall level of risk, stocks which management is thinking have been categorized in 3 categories: medium-risk, high-risk, and low-risk. Management evaluates that high-risk stocks will have the rate of return of 15% per year; low-risk stocks, 7% per year and medium-risk stocks, 11% per year. Members have made decision that investment in low-risk stocks must be equal to sum of investments in stocks of other two categories. Find how much club must invest in every kind of stock if investment goal is to have the return of $19,000/year on total investment. suppose that all money available for investment is invested.

i) High-risk investment is $70,000,
medium-risk investment is $90,000,
low-risk investment is $20,000


ii) High-risk investment is $20,000,
medium-risk investment is $90,000,
low-risk investment is $70,000


iii) High-risk investment is $70,000,
medium-risk investment is $20,000,
low-risk investment is $90,000


iv) High-risk investment is $90,000,
medium-risk investment is $20,000,
low-risk investment is $70,000


v) High-risk investment is $20,000,
medium-risk investment is $70,000,
low-risk investment is $90,000

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Mathematics: Find club must invest in stock if investment goal is given
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