Assume That the Amount of Money Deposited in a Bank $24 \%$

Multiple Choice

Assume that the amount of money deposited in a bank is proportional to the square of the interest rate the bank pays on this money. Furthermore, the bank can reinvest this money at 36%.
Find the interest rate the bank should pay to maximize profit. (Use the simple interest formula.)

A) $24 \%$
B) $29 \%$
C) $27 \%$
D) $36 \%$
E) $21 \%$