(Solution Library) A credit union wants to make investments in the following: Investment Type Annual Rate of Return, % Vehicle loans 7 Consumer loans 9 Other
Question: A credit union wants to make investments in the following:
| Investment Type | Annual Rate of Return, % |
| Vehicle loans | 7 |
| Consumer loans | 9 |
| Other secured loans | 10 |
| Signature loans | 11 |
| Risk-free securities | 8 |
The firm will have $2,500,000 available for investment during the coming year. The following restrictions apply:
Risk-free securities may not exceed 30% of the
total funds, but must comprise at least 5% of the
total.
Signature loans may not exceed 12% of the funds
invested in all loans (vehicle, consumer, other
secured loans, and signature loans).
Consumer loans plus other secured loans may not
exceed the vehicle loans.
Other secured loans plus signature loans may not exceed the funds invested in risk-free securities.
How should the $2,500,000 be allocated to each alternative to maximize annual return?
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Write the decision variables and what they represent. For example, X
1
= …..
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Write the objective function and the constraints as they are worded above.
- Re-write the constraints in the form needed to solve on the computer.
Deliverable: Word Document 