Reference no: EM132717379

Problem 1: Student assistants are contracted by AU to do errands, such as arranging and inspecting checked-out books. The need for such service fluctuates during work hours (8AM to 5PM). In the library, the minimum number of students needed is 2 between 8AM and 10AM, 3 between 10:01AM and 11AM, 4 between 11:01 and 1PM, and 3 between 1:01PM and 5PM. Each student is allotted 3 consecutive hours (except for those starting at 3:01, who work for 2 hours, and those who start at 4:01, who work for one hours). Because of their flexible schedule, students can usually report to work at any hour during the work day, except that no student wants to start working at lunch time (12NN). Determine the minimum number of students the library should employ and specify the time of the day at which they should report to work.