1. A contractor has a job which should be completed in 100 days, at present he has 80 men on the job and it is estimated that they will finish the work in 130 days, if of the 80 men, 50 are paid ₱400/day, 25 at ₱500/day, and 5 at ₱600/day, and if for each day beyond the original 100 days, the contractor has to pay ₱10,000 in liquidated damages. a. How many men should the contractor add so he can complete the work on time?  b. If all the additional men will be paid P600/day, how much will be the total salary expenses to finish the job in 100 days? c. Would the contractor save money by employing more men and not paying the fine?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
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1. A contractor has a job which should be completed in 100 days, at present he has 80 men on the job and it is estimated that they will finish the work in 130 days, if of the 80 men, 50 are paid ₱400/day, 25 at ₱500/day, and 5 at ₱600/day, and if for each day beyond the original 100 days, the contractor has to pay ₱10,000 in liquidated damages.

a. How many men should the contractor add so he can complete the work on time? 

b. If all the additional men will be paid P600/day, how much will be the total salary expenses to finish the job in 100 days?

c. Would the contractor save money by employing more men and not paying the fine?

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