Please show step by step answer! thank u

The administrator of Metropoliten Horpital is reviewing several departmental requests coneerning a proposed new wing. At issue is the number of beds for each department. The new wing is currently planned for 30,000 square foet. The bospital board has established the following prioritized gonis: a. Try to avoid spending more than $550,000. b. At least 4,000 patients ahould be served annually in the new wing. c. Avoid a pian that uses more than 30,000 square feet. d. Try to meet the departmental requests for the number of beds requested. However, this goal shoold 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 DEFINEEACH VARIABLE