Set Up the System of Equations and Then Solve It

question 210

Multiple Choice

Set up the system of equations and then solve it by using inverse matrices. ​
Investment A company offers three mutual fund plans for its employees. Plan I consists of 4 blocks of common stock and 2 municipal bonds. Plan II consists of 8 blocks of common stock, 4 municipal bonds, and 6 blocks of preferred stock. Plan III consists of 14 blocks of common stock, 6 municipal bonds, and 6 blocks of preferred stock. An employee wants to combine these plans so that she has 82 blocks of common stock, 38 municipal bonds, and 36 blocks of preferred stock. How many units of each plan does she need?
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Definitions:

Electroconvulsive Therapy

A mental health therapy where electric shocks are used to provoke seizures in individuals, aiming to alleviate psychological conditions.

Schizophrenia

A mental health disorder characterized by distortions in thinking, perception, emotions, language, sense of self, and behavior.

Mental Disorder

A broad range of conditions affecting mood, thinking, and behavior, often resulting in distress or impairment in daily functioning.

Brain Stimulation

A method used in neuromodulation therapies to alter the electrical activity in specific parts of the brain.