A company produces three types of bicycles, i.e., mountain bike, road bike, and touring bike... For each mountain bike (x) requires 8 worker hours to assemble the frame, 3 worker hours to assemble the components, and 2 worker hours to test and complete the bicycle. For each road bike (y) requires 4 worker hours to assemble the frame, 9 worker hours to assemble the components, and 1 worker hour to test and complete the bicycle. And for each touring bike (z) requires 2 worker hours to assemble the frame, 3 worker hours to assemble the components, and 1 worker hour to test and complete the bicycle. On a daily basis, the company has 296 worker hours for assembling the frame, 456 worker hours for assembling the components, and 84 worker hours for testing and completing the bicycle. Calculate how many bicycles of each type can be produced such that all work power used is equivalent by using Cramer's rule

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter11: Systems Of Equations
Section11.CT: Test
Problem 24CT
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A company produces three types of bicycles, i.e., mountain bike, road bike, and touring bike.
For each mountain bike (x) requires 8 worker hours to assemble the frame, 3 worker hours to
assemble the components, and 2 worker hours to test and complete the bicycle. For each road
bike (y) requires 4 worker hours to assemble the frame, 9 worker hours to assemble the
components, and 1 worker hour to test and complete the bicycle. And for each touring bike (z)
requires 2 worker hours to assemble the frame, 3 worker hours to assemble the components,
and 1 worker hour to test and complete the bicycle. On a daily basis, the company has 296
worker hours for assembling the frame, 456 worker hours for assembling the components, and
84 worker hours for testing and completing the bicycle. Calculate how many bicycles of each
type can be produced such that all work power used is equivalent by using Cramer's rule.
Transcribed Image Text:A company produces three types of bicycles, i.e., mountain bike, road bike, and touring bike. For each mountain bike (x) requires 8 worker hours to assemble the frame, 3 worker hours to assemble the components, and 2 worker hours to test and complete the bicycle. For each road bike (y) requires 4 worker hours to assemble the frame, 9 worker hours to assemble the components, and 1 worker hour to test and complete the bicycle. And for each touring bike (z) requires 2 worker hours to assemble the frame, 3 worker hours to assemble the components, and 1 worker hour to test and complete the bicycle. On a daily basis, the company has 296 worker hours for assembling the frame, 456 worker hours for assembling the components, and 84 worker hours for testing and completing the bicycle. Calculate how many bicycles of each type can be produced such that all work power used is equivalent by using Cramer's rule.
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