The Rio Credit Union has $ $250$ comma $000$ available to invest in a$12-$month commitment and wants to invest all of it$.$ The money can be placed in Brazilian treasury notes yielding an $10\%$ return or in riskier$$ high$-$yield bonds at an average rate of return of $9\%.$ Credit union regulations require diversification to the extent that at least $40\%$ of the investment be placed in Treasury notes. It is also decided that no more than $40\%$ of the investment be placed in bonds.

The aim of the objective function for Rio Credit Union should be to

Maximize

the objective value.

Part $2$

The optimal ROI occurs$$ when:

Part $3$

$$$ invested in Treasury notes$=$

$$

$100000($enter your response as a whole$$ number$).$

Part $4$

$$$ invested in Bonds$=$

$$

enter your response here $($enter your response as a whole$$ number$).$

Part $5$

Optimal ROI value$=$

$$

enter your response here $($enter your response as a whole$$ number$)$