Question: Peter Minn is planning to go to the Department of Motor Vehicles to have his driver's license renewed. His friend, Patricia, who is accompanying him, is applying for a new license. In both cases there are five steps that are required:
(A) having a picture taken,
(B) signing a signature verification form,
(C) passing a written test,
(D) passing an eye test, and
(E) passing a driving test.
For renewals the steps are performed in the order A, B, C, D, and E with average times required, respectively, of 0.2, 0.1, 0.3, 0.2, and 0.6 hour. In the case of new applications, the steps are performed in the sequence D, B, C, E, and A, with average times required of 0.3, 0.2, 0.7, 1.1, and 0.2 hour, respectively. Peter and Pat go on a day when the department is essentially empty. How should they plan their schedule in order to minimize the time required for both to complete all five steps?