A building constructor has a contract which will expire in 50 days. He has 80 men on the job and can finish the job in 80 days. The wage per day of 40 men is P800.00 each and that of the other 40 men is P500.00 each for 8 hours work per day. The fine or liquidated damages for delay in the work is P15,000.00 per day. How many more men should the contractor add in order to enable him to complete the work on time? Assuming that the additional men to be added will be paid P500.00 per day, will the contractor save money by employing enough men for him to complete the work on time or by not adding more men and paying the fine? How much is the savings, if any? No overtime work is permitted

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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A building constructor has a contract which will expire in 50 days. He has 80 men on the job and can finish the job in 80 days. The wage per day of 40 men is P800.00 each and that of the other 40 men is P500.00 each for 8 hours work per day. The fine or liquidated damages for delay in the work is P15,000.00 per day. How many more men should the contractor add in order to enable him to complete the work on time? Assuming that the additional men to be added will be paid P500.00 per day, will the contractor save money by employing enough men for him to complete the work on time or by not adding more men and paying the fine? How much is the savings, if any? No overtime work is permitted step by step
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