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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