An investment broker is instructed by their client to invest up to $28000, some in bonds earning 4% per year and some in treasury bills earning 6% per year. The client wants at least $6000 invested in treasury bills and no more than $20000 in bonds. If the client insists that the amount invested in treasury bills must equal or exceed the amount placed in bonds, how much should the broker recommend that the client place in each investment type in order to maximize total income from the funds? {Use x --> Bonds and y --> Treasury bills.} a) Draw the feasible region as a polygon below. Click on the vertex points in order; when finished, click on the first point again and the region will be shaded in fully.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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An investment broker is instructed by their client to invest up to $28000, some in bonds earning 4% per year
and some in treasury bills earning 6% per year. The client wants at least $6000 invested in treasury bills and
no more than $20000 in bonds.
If the client insists that the amount invested in treasury bills must equal or exceed the amount placed in
bonds, how much should the broker recommend that the client place in each investment type in order to
maximize total income from the funds? {Use x --> Bonds and y --> Treasury bills.}
a) Draw the feasible region as a polygon below. Click on the vertex points in order; when finished, click on
the first point again and the region will be shaded in fully.
32000+
28000
24000
20000
16000
12000
8000
4000
4000
12000 16000 20000
Clear All Draw: Polvoon
8000
Transcribed Image Text:An investment broker is instructed by their client to invest up to $28000, some in bonds earning 4% per year and some in treasury bills earning 6% per year. The client wants at least $6000 invested in treasury bills and no more than $20000 in bonds. If the client insists that the amount invested in treasury bills must equal or exceed the amount placed in bonds, how much should the broker recommend that the client place in each investment type in order to maximize total income from the funds? {Use x --> Bonds and y --> Treasury bills.} a) Draw the feasible region as a polygon below. Click on the vertex points in order; when finished, click on the first point again and the region will be shaded in fully. 32000+ 28000 24000 20000 16000 12000 8000 4000 4000 12000 16000 20000 Clear All Draw: Polvoon 8000
32000
28000
24000-
20000
16000
12000
8000
4000
4000
Clear All Draw: Polygon
b) Final Solution:
$
$
and the maximum income is $
8000
12000
should be invested in bonds,
should be invested in treasury bills,
16000
20000
in interest per year.
Transcribed Image Text:32000 28000 24000- 20000 16000 12000 8000 4000 4000 Clear All Draw: Polygon b) Final Solution: $ $ and the maximum income is $ 8000 12000 should be invested in bonds, should be invested in treasury bills, 16000 20000 in interest per year.
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