1 (a) An automobile factory produces two models, A and B. Model A requires 1 labor hour to paint and labor hour to polish; model B requires 1 labor hour for each process. During each hour that the 2 assembly line is operating, there are 80 labor hours available for painting and 65 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 770 widgets and 545 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. (a) Model A: Model B: ☐ ☐
1 (a) An automobile factory produces two models, A and B. Model A requires 1 labor hour to paint and labor hour to polish; model B requires 1 labor hour for each process. During each hour that the 2 assembly line is operating, there are 80 labor hours available for painting and 65 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 770 widgets and 545 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. (a) Model A: Model B: ☐ ☐
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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Transcribed Image Text:1
(a) An automobile factory produces two models, A and B. Model A requires 1 labor hour to paint and labor hour to polish; model B requires 1 labor hour for each process. During each hour that the
2
assembly line is operating, there are 80 labor hours available for painting and 65 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 770 widgets and 545 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.
(a) Model A:
Model B:
☐ ☐
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