3. An investment broker wants to invest up to $20,000. She can purchase type A bond yielding a 10% return and she can purchase a riskier type B bond yielding a 15% return. She wants to invest at least as much in the type A bond as in the type B bond to reduce her risk. The minimum investment for the type A bond is $5,000, and there are only $8,000 worth of type B bonds available. How much should the broker invest in each type of bond to maximize her returns?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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3. An investment broker wants to invest up to $20,000. She can purchase type A bond yielding a 10% return
and she can purchase a riskier type B bond yielding a 15% return. She wants to invest at least as much in the
type A bond as in the type B bond to reduce her risk. The minimum investment for the type A bond is
$5,000, and there are only $8,000 worth of type B bonds available. How much should the broker invest in
each type of bond to maximize her returns?
Transcribed Image Text:3. An investment broker wants to invest up to $20,000. She can purchase type A bond yielding a 10% return and she can purchase a riskier type B bond yielding a 15% return. She wants to invest at least as much in the type A bond as in the type B bond to reduce her risk. The minimum investment for the type A bond is $5,000, and there are only $8,000 worth of type B bonds available. How much should the broker invest in each type of bond to maximize her returns?
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