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Investor Matt has $83,000 to invest in a CD and a mutual fund.  The CD yields 4% and the mutual fund yields an average of 8.5%.  The mutual fund requires a minimum investment of $10,000, and Matt requires that at least 2 times as much money be invested in the CD as in the mutual fund.  You must invest in these bonds to maximize his return. This can be set up as a linear programming problem.  Introduce the decision variables: x= dollars invested in the CD y= dollars invested in the mutual fund   A: x≥10000   B: 0.04x+0.085y≤83000   C: 0.04x+0.085y≥10000   D: y≥10000   E: x+y≥10000   F: x≥2y   G: y≤10000   H: x+y≤83000   I: y≥2x

Investor Matt has $83,000 to invest in a CD and a mutual fund.  The CD yields 4% and the mutual fund yields an average of 8.5%.  The mutual fund requires a minimum investment of $10,000, and Matt requires that at least 2 times as much money be invested in the CD as in the mutual fund.  You must invest in these bonds to maximize his return. This can be set up as a linear programming problem.  Introduce the decision variables: x= dollars invested in the CD y= dollars invested in the mutual fund   A: x≥10000   B: 0.04x+0.085y≤83000   C: 0.04x+0.085y≥10000   D: y≥10000   E: x+y≥10000   F: x≥2y   G: y≤10000   H: x+y≤83000   I: y≥2x

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.8: Linear Programming
Problem 3SC: In Example 3, if the accountant earns a profit of 100 on each individual return and a profit of 175...
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Investor Matt has $83,000 to invest in a CD and a mutual fund.  The CD yields 4% and the mutual fund yields an average of 8.5%.  The mutual fund requires a minimum investment of $10,000, and Matt requires that at least 2 times as much money be invested in the CD as in the mutual fund.  You must invest in these bonds to maximize his return.

This can be set up as a linear programming problem.  Introduce the decision variables:

x= dollars invested in the CD
y= dollars invested in the mutual fund

 

A: x≥10000

 

B: 0.04x+0.085y≤83000

 

C: 0.04x+0.085y≥10000

 

D: y≥10000

 

E: x+y≥10000

 

F: x≥2y

 

G: y≤10000

 

H: x+y≤83000

 

I: y≥2x

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