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 55 labor hours available for painting and 70 labor hours for polishing. How many of each model can be produced each hour if all the labor hours available are to be utilized?

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 55 labor hours available for painting and 70 labor hours for polishing. How many of each model can be produced each hour if all the labor hours available are to be utilized?

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

Solve the following problems by using the inverse of the matrix involved.
(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 55 labor hours available for painting and 70 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 10 widgets and 14 shims and each model B requires 7 widgets and
10 shims. The factory can obtain 900 widgets and 1270 shims each hour. How many cars of each model
can it produce while using all the parts available?
(a) Model A:
30
Model B:
40
(b) Model A:
Model B:

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