# SOLUTION: Lillian is about to invest \$20,000, part at 6% and the rest at 8%. What is the most that she can invest at 6% and still be gauranteed at least \$1500 in intrest per year?

Algebra ->  Algebra  -> Inequalities -> SOLUTION: Lillian is about to invest \$20,000, part at 6% and the rest at 8%. What is the most that she can invest at 6% and still be gauranteed at least \$1500 in intrest per year?      Log On

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 Question 30309: Lillian is about to invest \$20,000, part at 6% and the rest at 8%. What is the most that she can invest at 6% and still be gauranteed at least \$1500 in intrest per year?Answer by Fermat(127)   (Show Source): You can put this solution on YOUR website!Let Lillian invest \$P @ 6% Let Lillian also invest \$(20,000 - P) @ 8% Total revenue is: P*6/100 + (20,000 - P)*8/100 >= 1500 6P + 160,000 - 8P >= 150,000 -2P >= -10,000 2P <= 10,000 P <= 5,000 ========== Thus Lillian must invest no more than \$5,000 @ 6% (with the remainder @ 8%) inorder to ensure that her total revenue will exceed \$1500.