Exercise $1$: $($Ref: Fig $9\mathrm{.}28$ to $9\mathrm{.}30)$

a$)$ Develop a SavingsAccount class. Use a static data member annualBonusRate to store the annual bonus rate for each of the savers $($i$.$e$.$ objects$).($Hint: declare static variable inside the class but initialize it outside the class$)$

b$)$ The class contains a private data member savingsBalance indicating the amount the saver currently has on deposit.

c$)$ Provide member function calculateMonthlyBonus that calculates the monthly bonus by multiplying the savingsBalance by annualBonusRate divided by $12$ ; this bonus should be added to savingsBalance.

d$)$ Provide a static member function modifyBonusRate that has a parameter and use it to set the static annualBonusRate to a new value.

e$)$ Write a driver program $($containing main$)$ to test class SavingsAccount.

Instantiate two different objects of class SavingsAccount, saver$1$ and saver$2,$ with balances of $$2000\mathrm{.}00$ and $$3000\mathrm{.}00,$ respectively.

Set annualBonusRate to $3$ percent only once.

Then calculate the monthly bonus and print the new balance for object, saver$1.$

Will the annualBonusRate be same for all objects? Explain your answer.