The material for the base of an open box costs 1.5 times as much per unit area as the material for constructing the sides. Use Lagrange multipliers to find the dimensions of the box of largest volume that can be made for a fixed cost of 200.00. Round your answers to two decimal places. (Maximize 
subject to 
.)
Definitions:
Electroconvulsive Treatment
A psychiatric treatment where seizures are electrically induced in patients to provide relief from mental disorders.
Biological Intervention
Therapies or treatments that involve manipulation of the body's biological systems, often through medication, to treat mental health conditions.
Psychological Disorders
Mental disorders characterized by patterns of behavior or thoughts that are significantly distressful or impairing personal functioning.
Biological Imbalances
Refers to the disruption in the normal balance of biological factors in the body, which can affect physical and mental health.
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