LP model Jefferson County Regional Hospital, SAT help

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timer Asked: Mar 1st, 2016
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Question description

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 into 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 hospital’s minimum requirement throughout the day while using the minimum number of nurses.

a.  Formulate a linear programming model for this problem.

b.  b. Solve the model by using the computer.

Linear Programming with The spreadsheet to Include excel spreadsheet with LP, and sensitivity report .

Head administrator at Jefferson County Regional Hospital

a. Formulate a linear programming model for this problem.

 b. Solve the model by using the computer.

In addition, I need to know correct data to fill in excel to generate LP max and sensitivity report for excel using excel QM to fill in the chart I have attached. 

1. I need you to show the number of constraints, variables, signs and formula needed to generate LP and sensitivity report          along with your excel file worked out 

 2. I need step-by-step on where to input data in QM to solve to obtain LP max and sensitivity. 

     Give the data I can use to recreate the chart when the file is returned.

     (e.g.) Constraints, variables signs, formula

See file attached


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 hospital’s minimum requirement throughout the day while using the minimum number of nurses. a. Formulate a linear programming model for this problem. b. b. Solve the model by using the computer. Linear Programming with spreadsheet to Include excel spreadsheet with LP, and sensitivity report . Head administrator at Jefferson County Regional Hospital a. Formulate a linear programming model for this problem. b. Solve the model by using the computer. In addition I need to know correct data to fill in excel to generate LP max and sensitivity report for excel using excel QM to fill in the chart I have attached. Please show the number of constraints, variables, signs and formula needed to generate LP and sensitivity report. Along with your excel file, I need step-by-step on how to input data in QM to solve to obtain LP max and sensitivity. Give the data I can use to recreate the chart when file is returned. Constraints, variables signs, formula Maureen Becker, Jefferson County Regional Hospital Scheduling Let Xi = number of nurses that begin their 8 hour shift in period I (I = 1,2,3,4, …., 12) 12:00AM -period 1 2:00Am period 2 2:00AM -- 4:00 AM etc DV Period x1 1 x2 2 x3 3 x4 4 x5 5 x6 6 x7 7 x8 8 x9 9 x10 10 x11 11 x12 12 Objective Function Minimum # of Nurses # of Nurses working > = > = > = > = > = > = > = > = > = > = > = > = 30 20 40 50 60 80 80 70 70 60 50 50

Tutor Answer

nava
School: Purdue University

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