Question: (Linear Programming) People's Bank is formulating its loan policy for next year. The bank has three kind of one-year bridging loans: property loans, vehicle loans

(Linear Programming)

People's Bank is formulating its loan policy for next year. The bank has three kind of one-year bridging loans: property loans, vehicle loans and enterprise loans. The interest rate and the bad-debt percentage for each loan type are as follows:

Loan Type Interest Rate (per annum) Bad-debt percentage

Property

4.5% 2.1%
Vehicle 1.6% 0.7%
Enterprise 1.9% 0.9%

For example, if a borrower obtains an property loan of $100, he needs to repay $104.5 to the bank after one year. The bad debt percentage is the uncollectible loan amount divided by the total loan amount. For example, 2.1% of the property loan amount is not recoverable. In other words, every dollar lent out has a 2.1% probability of not returning to the bank.

Which of these three types of loans has the highest net return? (10 marks)

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