Solve the System as Matrix Equations Using Inverses

question 6

Multiple Choice

Solve the system as matrix equations using inverses.
-A company produces three models of MP3 players, models A, B, and C. Each model A machine requires 3.2 hours of electronics work, 2.8 hours of assembly time, and 4.4 hours of quality assurance time. Each model B
Machine requires 5.4 hours of electronics work, 2.4 hours of assembly time, and 3.4 hours of quality assurance
Time. Each model C machine requires 2.2 hours of electronics work, 5.8 hours of assembly time, and 4.8 hours of
Quality assurance time. There are 303 hours available each week for electronics, 393 hours for assembly, and
416 hours for quality assurance. How many of each model should be produced each week if all available time
Must be used?

• A) Model A: 31
• B) Model A: 28
• C) Model A: 30
• D) Model A: 30 Model B: 20 Model B: 22 Model B: 15 Model B: 20
• Model C: 44 Model C: 45 Model C: 50 Model C: 45

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Definitions:

Cognitive Triad

A concept in cognitive therapy that describes an individual's negative view of themselves, their world, and their future.

Negative View

A pessimistic perspective or outlook on life, events, or situations, often characterized by a focus on the negative aspects.

Beck

Refers to Aaron T. Beck, an American psychiatrist who is considered one of the founders of cognitive therapy, which focuses on identifying and changing negative thought patterns.

Negative Thinking

A pattern of focusing on the worst aspects of a situation, often leading to pessimism and a lack of motivation.