A contractor has a contract which which will expire in 40 days. At present, he has 80 men on the job and can finish the job in 50 days. The wage per day of 40 men is $500 each and the other 40 men is $300, each for 8 hours work per day. The fine for the delay in the work is $10,000 per day. 1st question: How many more men should the contractor add in order to complete the work on time? 2nd question: Assuming that the additional men to be added will be paid $400 per day, will the contractor save money by employing enough men to complete the work on time or by not adding more men and just pay the fine? If any, how much is the savings? No overtime work is permitted.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A contractor has a contract which which will
expire in 40 days. At present, he has 80 men
on the job and can finish the job in 50 days.
The wage per day of 40 men is $500 each
and the other 40 men is $300, each for 8
hours work per day. The fine for the delay in
the work is $10,000 per day.
1st question: How many more men should the
contractor add in order to complete the work
on time?
2nd question: Assuming that the additional
men to be added will be paid $400 per day,
will the contractor save money by employing
enough men to complete the work on time or
by not adding more men and just pay the
fine? If any, how much is the savings? No
overtime work is permitted.
Transcribed Image Text:A contractor has a contract which which will expire in 40 days. At present, he has 80 men on the job and can finish the job in 50 days. The wage per day of 40 men is $500 each and the other 40 men is $300, each for 8 hours work per day. The fine for the delay in the work is $10,000 per day. 1st question: How many more men should the contractor add in order to complete the work on time? 2nd question: Assuming that the additional men to be added will be paid $400 per day, will the contractor save money by employing enough men to complete the work on time or by not adding more men and just pay the fine? If any, how much is the savings? No overtime work is permitted.
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