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 1 labor hour to paint and 1/2 labor hour to polish; model B requires 1 labor hour for each process. During each hour that the assembly line is operating, there are 70 labor hours available for painting and 60 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 730 widgets and1030 shims each hour. How many cars of each model can it produce while using all the parts available? Is 20 and 60 correct for a. and b= 45 and 60?
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 1 labor hour to paint and 1/2 labor hour to polish; model B requires 1 labor hour for each process. During each hour that the assembly line is operating, there are 70 labor hours available for painting and 60 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 730 widgets and1030 shims each hour. How many cars of each model can it produce while using all the parts available? Is 20 and 60 correct for a. and b= 45 and 60?
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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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
1 labor hour to paint and 1/2 labor hour to polish; model B requires 1 labor hour for each process. During each hour that the assembly line is operating, there are 70 labor hours available for painting and
60 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 730 widgets and1030 shims each hour. How many cars of each model can it produce while using all the parts available?
Is 20 and 60 correct for a. and b= 45 and 60?
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