7. ALLOCATION OF FUNDS Madison Finance has a total of $20 million earmarked for homeowner loans and auto loans. On the average, homeowner loans have a 10% annual rate of return, whereas auto loans yield a 12% annual rate of return. Management has also stipulated that the total amount of homeowner loans should be greater than or equal to 4 times the total amount of automobile loans. Determine the total amount of loans of each type Madison should extend to each category to maximize its returns.

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ISBN:9780470458365
Author:Erwin Kreyszig
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7. ALLOCATION OF FUNDS Madison Finance has a total of
$20 million earmarked for homeowner loans and auto
loans. On the average, homeowner loans have a 10%
annual rate of return, whereas auto loans yield a 12%
annual rate of return. Management has also stipulated that
the total amount of homeowner loans should be greater
than or equal to 4 times the total amount of automobile
loans. Determine the total amount of loans of each type
Madison should extend to each category to maximize its
returns.
Transcribed Image Text:7. ALLOCATION OF FUNDS Madison Finance has a total of $20 million earmarked for homeowner loans and auto loans. On the average, homeowner loans have a 10% annual rate of return, whereas auto loans yield a 12% annual rate of return. Management has also stipulated that the total amount of homeowner loans should be greater than or equal to 4 times the total amount of automobile loans. Determine the total amount of loans of each type Madison should extend to each category to maximize its returns.
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