You are developing a linear optimization model to help allocate a $$100,000$ investment budget across three types of financial instruments: corporate bonds, index funds, and real estate investment trusts $($REITs$).$

Let:

BONDS be the amount of money invested in corporate bonds

FUNDS be the amount of money invested in index funds

REITS be the amount of money invested in REITs

To reflect your investment strategy:

You want to invest at least three times as much in index funds as in the total invested in corporate bonds and REITs

You want to invest at least $$25,000$ in REITs.

Which of the following correctly represents the constraints for this optimization model?

Group of answer choices

FUNDS $>=3*($BONDS $+$ REITS$)$

REITS $>=25,000$

BONDS $+$ FUNDS $+$ REITS $<=100,000$

BONDS, FUNDS, REITS $>=0$

BONDS $+$ REITS $>=3*$FUNDS

REITS $>=25,000$

BONDS $+$ FUNDS $+$ REITS $<=100,000$

BONDS, FUNDS, REITS $>=0$

$$

BONDS$/3>=$ FUNDS $+$ REITS

REITS $>=25,000$

BONDS $+$ FUNDS $+$ REITS $<=100,000$

BONDS, FUNDS, REITS $>=0$

$$

REITS$/3>=$ FUNDS $+$ BONDS

REITS $>=25,000$

BONDS $+$ FUNDS $+$ REITS $>=100,000$

BONDS, FUNDS, REITS $>=0$