Bank-With-Us and First-Bank Are the Only Two Banks in GreenVillage,and

Bank-with-us and First-Bank are the only two banks in GreenVillage,and they are trying to increase their profits by attracting more customers.Consumers are indifferent between banks;they are interested only in the interest rate they can earn on their savings.Assume that each bank can choose to offer a 2% or a 5% interest rate on savings.If both banks are offering 2% interest rate,they split the market and each earns $1.6 billion in profits.If both banks are offering 5% interest rate,they split the market and each earns $1.2 billion in profits.If one offers 2% and the other one offers 5%,the bank offering the higher interest rate earns $2 billion in profits,and the other bank earns only $1 billion.Which of the following statements is correct?

A) If Bank-with-us is offering 2% interest rate,then First-Bank is also offering 2% interest rate
B) If Bank-with-us is offering 2% interest rate,then First-Bank is offering 5% interest rate
C) First-Bank will offer 2% interest rate no matter what the other bank does
D) Bank-with-us will offer 2% interest rate only if First-Bank will offer 2%
E) Bank-with-us will offer 5% interest rate no matter what the other bank does