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b. Express the system of linear equations in part (a) as a matrix equation in the form of AX = B. Hence, for k = 5, solve the matrix equation to %3D determine the value of x, y and z by using THREE (3) different methods below: Method 1: Inverse Matrix Method 2: Gauss Jordan Elimination Method Method 3: Cramer's Rule Show all steps required for each method. Then, create a table to compare the process in terms of complexity between Method 1, Method 2 and Method 3. Suggest a strategy to the company in order to maximize the number of cars produced per month for each model. Provide ONE (1) complete example.

b. Express the system of linear equations in part (a) as a matrix equation in the form of AX = B. Hence, for k = 5, solve the matrix equation to %3D determine the value of x, y and z by using THREE (3) different methods below: Method 1: Inverse Matrix Method 2: Gauss Jordan Elimination Method Method 3: Cramer's Rule Show all steps required for each method. Then, create a table to compare the process in terms of complexity between Method 1, Method 2 and Method 3. Suggest a strategy to the company in order to maximize the number of cars produced per month for each model. Provide ONE (1) complete example.

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter9: Solving Quadratic Functions
Section: Chapter Questions
Problem 17CT
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Please answer (c) with a clear explanation and provide an example

Painting, drying and polishing are all basic processes in the manufacturing of cars. Theta Motor company produces three types of cars: Model A, Model B and Model C. Each Model A requires (2k + 2) hours for painting, 5 hours for drying and 4 hours for polishing. Model B requires 14 hours for painting, 7 hours for drying and k hours for polishing and Model C requires 10 hours for painting, (k – 1) hours for drying and 1 hour for polishing. The company has allocated 246 hours for painting, 104 hours for drying and 55 hours for polishing per month. а. By assuming that x,y and z represent the number of cars produced per month for Model A, Model B and Model C respectively and k is a constant, transform the given information into a system of linear equations.
Transcribed Image Text:Painting, drying and polishing are all basic processes in the manufacturing of cars. Theta Motor company produces three types of cars: Model A, Model B and Model C. Each Model A requires (2k + 2) hours for painting, 5 hours for drying and 4 hours for polishing. Model B requires 14 hours for painting, 7 hours for drying and k hours for polishing and Model C requires 10 hours for painting, (k – 1) hours for drying and 1 hour for polishing. The company has allocated 246 hours for painting, 104 hours for drying and 55 hours for polishing per month. а. By assuming that x,y and z represent the number of cars produced per month for Model A, Model B and Model C respectively and k is a constant, transform the given information into a system of linear equations.
b. Express the system of linear equations in part (a) as a matrix equation in the form of AX = B. Hence, for k = 5, solve the matrix equation to determine the value of x, y and z by using THREE (3) different methods below: Method 1: Inverse Matrix Method 2: Gauss Jordan Elimination Method Method 3: Cramer's Rule Show all steps required for each method. Then, create a table to compare the process in terms of complexity between Method 1, Method 2 and Method 3. Suggest a strategy to the company in order to maximize the number of С. cars produced per month for each model. Provide ONE (1) complete example.
Transcribed Image Text:b. Express the system of linear equations in part (a) as a matrix equation in the form of AX = B. Hence, for k = 5, solve the matrix equation to determine the value of x, y and z by using THREE (3) different methods below: Method 1: Inverse Matrix Method 2: Gauss Jordan Elimination Method Method 3: Cramer's Rule Show all steps required for each method. Then, create a table to compare the process in terms of complexity between Method 1, Method 2 and Method 3. Suggest a strategy to the company in order to maximize the number of С. cars produced per month for each model. Provide ONE (1) complete example.
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