QUESTION NO 3 (10 MARKS) The administrator of Metropolitan Hospital is reviewing several departmental

Question: QUESTION NO 3 (10 MARKS) The administrator of Metropolitan Hospital is reviewing several departmental requests concerning a proposed new wing. At issue is the number of beds for each department. Dept Cost Per No. of Beds Requested Area Per Bed (sq. ft.) Bed Annual No. of Patients/Bed A 50 $ 4,000 200 35 B 30 8,000 500 90 C 20 10,000 700 10 The new wing isShow transcribed image textStandard variables: Let A, B, and C be the number of beds to include in respective department Deviation variables: Pi and Ni be the positive and negativ…View the full answerTranscribed image text: QUESTION NO 3 (10 MARKS) The administrator of Metropolitan Hospital is reviewing several departmental requests concerning a proposed new wing. At issue is the number of beds for each department. Dept Cost Per No. of Beds Requested Area Per Bed (sq. ft.) Bed Annual No. of Patients/Bed A 50 $ 4,000 200 35 B 30 8,000 500 90 C 20 10,000 700 10 The new wing is currently planned for 30,000 square feet. The hospital board has established the following prioritized goals: Try to avoid spending more than $550,000. a. b. At least 4,000 patients should be served annually in the new wing. c. Avoid a plan that uses more than 30,000 square feet. d. Try to meet the departmental requests for the number of beds requested. However, this goal should be weighted in proportion to the annual number of patients served per bed. Formulate a Goal Programming Model to determine the number of each type of bed to include in the new wing in order to best achieve the board’s goals. CLEARLY DEFINE EACH VARIABLE.