Solve the given minimization problem by the simplex method. 
Definitions:
Validity Research
The process of testing the accuracy and relevancy of a measurement tool or test in predicting or measuring what it is intended to.
MMPI
The Minnesota Multiphasic Personality Inventory (MMPI) is a standardized psychometric test of adult personality and psychopathology used to diagnose mental disorders.
Projective Test
A personality assessment device in which subjects are presumed to project personal needs, fears, and values onto their interpretation or description of an ambiguous stimulus.
Inter-scorer Reliability
A measure of consistency among different scorers in the assessment of a specific characteristic, ensuring that the assessment results are not dependent on the individual scorer.
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