Problem 2: In this exercise, you will design various classes and write a program to computerize the billing system of a hospital a. Design the class doctorType, inherited from the class personType, defined in Chapter 10, with an additional data member to store a doctor's speciality. Add appropriate constructors and member functions to initialize, access, and manipulate the data members. b. Design the class billType with data members to store a patient's ID and a patient's hospital charges, such as pharmacy charges for medicine, doctor's fee, and room charges. Add appropriate constructors and member functions to initialize, access, and manipulate the data members. c. Design the class patientType, inherited from the class personType, defined in Chapter 10, with additional data members to store a patient's ID, age, date of birth, attending physician's name, the date when the patient was admitted in the hospital, and the date when the patient was discharged from the hospital. (Use the class dateType to store the date of birth, admit date, discharge date, and the class doctorType to store the attending physician's name.) Add appropriate constructors and member functions to initialize, access, and manipulate the data members. d. Write a program to test your classes. Sample Input Sample Output Pattant: hd Rana Aftanding physician:", Tristan Media enen Cariant's fast rame: ma Admat Ditel 2002 Enter patient's last name: Rana Discharge Date: 4-21 2009 Enter docton's first name: Mr. Pharmacy Charges: $245.50 Room Charges: $2500.00 Enter doctor's last name: Tristan Doctor's Fees: $3509.38 Enter doctor's speciality: Medicine Total Charges: $6245.88