Find the complete optimal solution to this linear programming problem. 
Definitions:
Heinz Kohut
A psychoanalyst known for his developments in self psychology, emphasizing the importance of empathy in the therapeutic process.
Theories on Empathy
A set of ideas intended to explain how individuals understand and share the feelings of others, encompassing cognitive and emotional components.
Therapeutic Process
Relates to the sequence of steps or interventions designed to treat mental, emotional, or physical disorders in a therapeutic setting.
Working Alliance
A collaborative connection and trust between a therapist and client, focusing on achieving the client's therapeutic goals.
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