Investor Matt has $83,000 to invest in a CD and a mutua The CD yields 4% and the mutual fund yields an average 8.5%. The mutual fund requires a minimum investment $10,000, and Matt requires that at least 2 times as much be invested in the CD as in the mutual fund. You must in these bonds to maximize his return

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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
-
Check all of the problem constraints. Note: The non-negative
constraints are not included here.
y>2
y 10000
x+y≤ 83000
x > 10000
0.04x +0.085y ≤ 83000
0.04x+0.085y > 10000
x+y 10000
y> 10000
x > 2y
Transcribed Image Text: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 - Check all of the problem constraints. Note: The non-negative constraints are not included here. y>2 y 10000 x+y≤ 83000 x > 10000 0.04x +0.085y ≤ 83000 0.04x+0.085y > 10000 x+y 10000 y> 10000 x > 2y
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