An engineer bidding on the asphalting of a 7-kn stretch of road is confronted with the problem of choosing between two possible sites on which to set up the asphalt-mixing machine. At site A, the average hauling distance is 2.5km; the monthly rental would be P10,500 and the cost of installing and dismantling the equipment would be P20,000. At site B, the average hauling distance is 3.25km; the monthly rental would be P3,500 and the cost of installing and dismantling the equipment would be P10,200. The asphalt mix is to be hauled by a sub-contractor at P15.25 per cu. m. per km of haul. At site A, it would be necessary to hire 2 flagmen at P150 each per workday. The job can be completed in 30 weeks or 7 months working 6 days a week. The project requires 16,670 cu. m. of asphalt mix per km of road. Which site should he choose and how much lower would his bid be if he made the better choice?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Problem 1:
An engineer bidding on the asphalting of a 7-km stretch of road
is confronted with the problem of choosing between two
possible sites on which to set up the asphalt-mixing machine.
At site A, the average hauling distance is 2.5km; the monthly
rental would be P10,500 and the cost of installing and
dismantling the equipiment would be P20,000. At site B, the
average hauling distance is 3.25km; the monthly rental would
be P3,500 and the cost of installing and dismantling the
equipment would be P10,200. The asphalt mix is to be hauled
by a sub-contractor at P15.25 per cu. m. per km of haul. At site
A, it would be necessary to hire 2 flagmen at P150 each per
workday. The job can be completed in 30 weeks or 7 months
working 6 days a week. The project requires 16,670 cu. m. of
asphalt mix per km of road. Which site should he choose and
how much lower would his bid be if he made the better choice?
Transcribed Image Text:Problem 1: An engineer bidding on the asphalting of a 7-km stretch of road is confronted with the problem of choosing between two possible sites on which to set up the asphalt-mixing machine. At site A, the average hauling distance is 2.5km; the monthly rental would be P10,500 and the cost of installing and dismantling the equipiment would be P20,000. At site B, the average hauling distance is 3.25km; the monthly rental would be P3,500 and the cost of installing and dismantling the equipment would be P10,200. The asphalt mix is to be hauled by a sub-contractor at P15.25 per cu. m. per km of haul. At site A, it would be necessary to hire 2 flagmen at P150 each per workday. The job can be completed in 30 weeks or 7 months working 6 days a week. The project requires 16,670 cu. m. of asphalt mix per km of road. Which site should he choose and how much lower would his bid be if he made the better choice?
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