Posted by **diana** on Monday, September 7, 2009 at 8:47pm.

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

- math -
**MathMate**, Tuesday, September 8, 2009 at 8:28am
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 "

H+L≤15000

"at least $2,000 is to be plaaced in the high-risk investment"

H≥2000

"amount invested at low risk should be at least three times the amount invested at high risk"

L≥3H

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.

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