pound, what effect would this have on the solution? 4. Dr. Maureen Becker, the head administrator at Jefferson County Regional Hospital, must determine a schedule for nurses to make sure there are enough of them on duty throughout the day. During the day, the demand for nurses varies. Maureen has broken the day in to twelve 2- hour periods. The slowest time of the day encompasses the three periods from 12:00 A.M. to 6:00 A.M., which beginning at midnight; require a minimum of 30, 20, and 40 nurses, respectively. The demand for nurses steadily increases during the next four daytime periods. Beginning with the 6:00 A.M.- 8:00 A.M. period, a minimum of 50, 60, 80, and 80 nurses are required for these four periods, respectively. After 2:00 P.M. the demand for nurses decreases during the afternoon and evening hours. For the five 2-hour periods beginning at 2:00 P.M. and ending midnight, 70, 70, 60, 50, and 50 nurses are required, respectively. A nurse reports for duty at the beginning of one of the 2-hour periods and works 8 consecutive hours (which is required in the nurses' contract). Dr. Becker wants to determine a nursing schedule that will meet the hospitals minimum requirement throughout the day while using the minimum number of nurses. a. Formulate a linear programming model for this problem. MAT540 Homework Week 8 Page 4 of 4 b. Solve the model by using the computer. Jefferson County Regional HospitalScheduling 12) Let Xi = number of nurses that begin their 8 hour shift in period I (1 = 1,2,3,4, period 1 12:00AM -- 2:00Am period 2 2:00AM -- 4:00 AM etc # of Nurses working DV Period 1 X1 Minimum # of Nurses 30 20 40 X2 2 X3 3 X4 4 50 3 X5 5 60 x6 6 80 5 |x7 7 80 8 70 X8 x9 - 9 70 B X10 10 60 3 x11 11 50 x12 12 50 Objective Function 5 B