Question

A person with no more than $15,000 to invest plans to place the money in two investments. One investment is high-risk, high yield; the other is low risk, low yield. At least $2,000 is to be placed in the high-risk investment. Furthermore, the amount invested at low risk should be at least three times the amount invested at high-risk. Find a system of inequalities that describes all possibilities for placing the money in the high- and low-risk investments.

Answer 1

let x be high risk investment
and y be low risk investment
so x + y < 15000
y>3x
x> 2000