The employee credit union at State University is planning the allocation of funds for the coming year. The credit union makes four types of loans to its members. In addition, the credit union invests in risk$-$free securities to stabilize income. The various revenue$-$producing investments together with annual rates of return are as follows:

Type of Loan$/$Investment Annual Rate of Return $(\%)$

Automobile loans $8$

Furniture loans $9$

Other secured loans $10$

Signature loans $11$

Risk$-$free securities $9$