Solve the following problems by using the inverse of the matrix involved. 1 (a) An automobile factory produces two models, A and B. Model A requires - labor hour to paint and 1 labor hour to polish; model B requires 1 labor hour for each process. During each hour that the assembly line is operating, there are 65 labor hours available for painting and 80 labor hours for polishing. How many of each model can be produced each hour if all the labor hours available are to be utilized? (b) Suppose each model A requires 14 widgets and 10 shims and each model B requires 10 widgets and 7 shims. The factory can obtain 1250 widgets and 885 shims each hour. How many cars of each model can it produce while using all the parts available?

Solve the following problems by using the inverse of the matrix involved. 1 (a) An automobile factory produces two models, A and B. Model A requires - labor hour to paint and 1 labor hour to polish; model B requires 1 labor hour for each process. During each hour that the assembly line is operating, there are 65 labor hours available for painting and 80 labor hours for polishing. How many of each model can be produced each hour if all the labor hours available are to be utilized? (b) Suppose each model A requires 14 widgets and 10 shims and each model B requires 10 widgets and 7 shims. The factory can obtain 1250 widgets and 885 shims each hour. How many cars of each model can it produce while using all the parts available?

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter6: Linear Systems

Section6.3: Matrix Algebra

Problem 85E: Determine if the statement is true or false. If the statement is false, then correct it and make it...

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Question

Solve the following problems by using the inverse of the matrix involved.
1
labor hour to paint and 1 labor hour to polish;
(a) An automobile factory produces two models, A and B. Model A requires
model B requires 1 labor hour for each process. During each hour that the assembly line is operating, there are 65 labor
hours available for painting and 80 labor hours for polishing. How many of each model can be produced each hour if all the
labor hours available are to be utilized?
(b) Suppose each model A requires 14 widgets and 10 shims and each model B requires 10 widgets and 7 shims. The
factory can obtain 1250 widgets and 885 shims each hour. How many cars of each model can it produce while using all the
parts available?
.....
(а) Model A:
Model B:

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