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The Bank of Elkins is allocating a maximum of $200,000 for personal and car loans during the next month. The bank charges 14% for personal

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The Bank of Elkins is allocating a maximum of $200,000 for personal and car loans during the next month. The bank charges 14% for personal loans and 12% for car loans. Both types of loans are repaid at the end of 1-year period. Experience shows that about 3% of personal loans and 2% of car loans are never repaid. The bank usually allocated at least twice as much to car loans as to personal loans. Determine the optimal allocation of funds to the two types of loans to maximize the net rate of return the bank will get from the all the loans

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