Question 3 [14 points]: IHCC is a specialized healthcare construction company signed a project contract to build a new hospital in Dhahran City. The new hospital is multi-floor facility consisting of 8 floors where g = 1,2,... 8. The area of each floor is measured in m, and denoted by Sg. Also, the distance in meters between any consecutive floors is 8. The initial plan is to open 14 main departments in the hospital which are listed in the table below: Department Department Number Department Name Department Name Number 1 Accident and emergency (A&E) 8 Chaplaincy 2 Admissions Intensive Care Unit (ICU) 3 Anesthetics 10 Pharmacy 4 Breast Screening 11 Diagnostic Imaging 5 Burn Center 12 Human Resources 13 Cardiology General Services 6 Central Sterile Services 14 Finance Department 79 (CSSD) 9 The area of department i is A m, and the flow between any two of the departments, your help to The area of department i is A, m, and the flow between any two of the departments, say i and , is given as fi; with flow cost cuj. The company is seeking your help to determine the allocation of the above departments into the 8 floors. Write a full formulation of the following problem statements after you define your variables and parameters (if any) clearly: (note: each question part is independent of others) a) Assume the possible departments that can be assigned to the first floor are four departments, namely (A&E), Admissions, Pharmacy, and Diagnostic Imaging. Write only a linear objective function that minimizes the cost per unit time for movement among the departments. b) The total areas of the departments which are planned to be assigned to the first floor and given in part (a) should not exceed 1220 m unit time for movement among the departments. b) The total areas of the departments which are planned to be assigned to the first floor and given in part (a) should not exceed 1220 m c) If Anesthetics department is assigned to floor g, then Cardiology, and Chaplaincy departments can not be assigned to the same floor. d) If (ICU) is assigned to floor 7, then the General Services department should be assigned to floor 4. e) The vertical distance between Admissions and (ICU) must be 28 mts. f) If it is planned to assign Human Resources department to any floor such that g 22, then departments of General Services and Finance should be Question 3 [14 points]: IHCC is a specialized healthcare construction company signed a project contract to build a new hospital in Dhahran City. The new hospital is multi-floor facility consisting of 8 floors where g = 1,2,... 8. The area of each floor is measured in m, and denoted by Sg. Also, the distance in meters between any consecutive floors is 8. The initial plan is to open 14 main departments in the hospital which are listed in the table below: Department Department Number Department Name Department Name Number 1 Accident and emergency (A&E) 8 Chaplaincy 2 Admissions Intensive Care Unit (ICU) 3 Anesthetics 10 Pharmacy 4 Breast Screening 11 Diagnostic Imaging 5 Burn Center 12 Human Resources 13 Cardiology General Services 6 Central Sterile Services 14 Finance Department 79 (CSSD) 9 The area of department i is A m, and the flow between any two of the departments, your help to The area of department i is A, m, and the flow between any two of the departments, say i and , is given as fi; with flow cost cuj. The company is seeking your help to determine the allocation of the above departments into the 8 floors. Write a full formulation of the following problem statements after you define your variables and parameters (if any) clearly: (note: each question part is independent of others) a) Assume the possible departments that can be assigned to the first floor are four departments, namely (A&E), Admissions, Pharmacy, and Diagnostic Imaging. Write only a linear objective function that minimizes the cost per unit time for movement among the departments. b) The total areas of the departments which are planned to be assigned to the first floor and given in part (a) should not exceed 1220 m unit time for movement among the departments. b) The total areas of the departments which are planned to be assigned to the first floor and given in part (a) should not exceed 1220 m c) If Anesthetics department is assigned to floor g, then Cardiology, and Chaplaincy departments can not be assigned to the same floor. d) If (ICU) is assigned to floor 7, then the General Services department should be assigned to floor 4. e) The vertical distance between Admissions and (ICU) must be 28 mts. f) If it is planned to assign Human Resources department to any floor such that g 22, then departments of General Services and Finance should be