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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 -

    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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