posted by diana on .
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: thfe other is low risk, low yield. at least $2,000 is to be plaaced in the high-risk investment. furthermore, thfe amount invested at low risk should be at least three times the amounted invested at high risk. find and graph a system of inequalities that describes all possibilities for plaacing the money in the high-and low risks investments
Let H be the amount of investments for high risk products, and
L be the amount for low-risk products.
"with no more than $15,000 to invest "
"at least $2,000 is to be plaaced in the high-risk investment"
"amount invested at low risk should be at least three times the amount invested at high risk"
Draw a graph with H in the x-axis, and L in the y-axis (or vice versa).
Represent the above inequalities on the graph.
Shade the impossible regions. The unshaded region in the resulting graph represents the possible investment options.