A company produces two models of bicycles, model 201 and model 301. Model 201 requires 2 hours of assembly time and model 301 requires 3 hours of assembly time. The parts for model 201 cost $18 per bike and the parts for model 301 cost $27 per bike. If the company has a total of 34 hours of assembly time and $335 available per day for these two models, how many of each should be made in a day to use up all available time and money? If it is not possible, explain why not.

A company produces two models of bicycles, model 201 and model 301. Model 201 requires 2 hours of assembly time and model 301 requires 3 hours of assembly time. The parts for model 201 cost $18 per bike and the parts for model 301 cost $27 per bike. If the company has a total of 34 hours of assembly time and $335 available per day for these two models, how many of each should be made in a day to use up all available time and money? If it is not possible, explain why not.

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

1. Production

A company produces two models of bicycles,
model 201 and model 301. Model 201 requires 2 hours of
assembly time and model 301 requires 3 hours of assembly
time. The parts for model 201 cost $18 per bike and the parts for
model 301 cost $27 per bike. If the company has a total of 34
hours of assembly time and $335 available per day for these two
models, how many of each should be made in a day to use up all
available time and money? If it is not possible, explain why not.

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