Use the data shown below to answer the following question(s).
Suppose that an unincorporated township wishes to find the best locations for emergency rooms.Assume that the township is divided into smaller layouts and that transportation studies have estimated the response time for emergency vehicles to travel between each pair of layouts.The township wants to locate the emergency rooms so that all layouts can be reached within a 9-minute response time.
The table below shows the estimated response time in minutes between each pair of layouts: 
Define Xj = 1 if an emergency room is located in layout j,and 0 if not.
-What are Lagrange multipliers?
Definitions:
Psychological Health
A state of well-being where an individual realizes their abilities, can cope with normal stresses of life, and can work productively.
Adolescent Development
The physical, psychological, emotional, and social growth and changes that occur during the period of transition from childhood to adulthood.
Externalizing Problems
Behavioral issues manifested outwardly, such as aggression or disruptive behaviors, often in response to psychological distress.
Social Norms
Informal understandings that govern the behavior of members within a society, dictating what is considered acceptable or usual.
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