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Madison Finance has a total of $20 million earmarked for homeowner loans and auto loans, where x is homeowner loans in millions of dollars and y is auto loans in millions of dollars. On the average, homeowner loans have a 9% annual rate of return, whereas auto loans yield a 14% 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 P in millions of dollars.

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Answer:

Ans. Car loans must be $4,000,000 and Home loans $16,000,000 in order to use all the conditions in the problem. Return= $2,000,000

Explanation:

Hi, well, you need to make sure to get as many car loans as the conditions of the problem allows you, since it returns 14%.

I used MS Excel solver to find this result, please download the excel spreadsheet attached to this answer.

Best of luck.

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