A Trust Account Manager Has $400,000 to Be Invested in Three

Multiple Choice

A trust account manager has $400,000 to be invested in three different accounts. The accounts pay 5%, 6%, and 10%, and the goal is to earn $32,000. Assuming that x dollars are invested at 5%, y dollars are invested at 6%,And z dollars are invested at 8%, what limits must there be on z so that all investment values are non-negative?

A) $200,000 \leq z \leq 240,000$
B) $150,000 \leq \mathrm { z } \leq 180,000$
C) $210,000 \leq z \leq 250,000$
D) $150,000 \leq \mathrm { z } \leq 200,000$