Formulate problem with Decision Variables, Objective Function, Constraints:

One of the decisions to be made in a new retirement community (Pilgrim Haven) is where to locate the two paramedic stations that have been allocated to the community to respond to medical emergencies. For planning purposes, Pilgrim Haven has been divided into five tracts, with no more than one paramedic station to be located in any given tract. Each station is to respond to all the medical emergencies that occur in the tract in which it is located as well as in the other tracts that are assigned to this station. The following table gives the average response time to a medical emergency in each tract (the rows) if that tract is served by a station in a given tract (the columns). The last column gives the forecasted average number of medical emergencies that will occur in each of the tracts per day. Thus, the decisions to be made consist of (1) the tracts to receive a paramedic station and (2) the assignment of each of the other tracts to one of the paramedic stations. The objective is to minimize the overall average of the response times to medical emergencies.

		Paramedic Station in Tract
		1	2	3	4	5
Response time in minutes to a medical emergency in the tract	1	5	20	15	25	10
	2	12	4	20	15	25
	3	30	15	6	25	15
	4	20	10	15	4	12
	5	15	25	12	10	5
AVG Frequency of Medical Emergencies per day		2	1	3	1	3