Site 1 Site 2 Property Area (1000ft²) Cost ($1000) Area (1000ft²) Cost ($1000) 20 1000 80 2800 50 21000 60 1900 50 2350 50 2800 30 1850 70 2500 60 2950 1 2 3 4 5 Partial acquisition is possible. At least 80% of property 4 must be acquired if sitel is selected, and at least 60% of property 3 is acquired if site 2 is selected. Although site 1 property is more expensive, the construction cost is less than site 2 because of better existing infrastructure at site 1. Construction cost at site 1 is $30 million and at site 2 is $32 million. Determine LP model(s) to decide which site is cheaper for constructing the new stadium.
Site 1 Site 2 Property Area (1000ft²) Cost ($1000) Area (1000ft²) Cost ($1000) 20 1000 80 2800 50 21000 60 1900 50 2350 50 2800 30 1850 70 2500 60 2950 1 2 3 4 5 Partial acquisition is possible. At least 80% of property 4 must be acquired if sitel is selected, and at least 60% of property 3 is acquired if site 2 is selected. Although site 1 property is more expensive, the construction cost is less than site 2 because of better existing infrastructure at site 1. Construction cost at site 1 is $30 million and at site 2 is $32 million. Determine LP model(s) to decide which site is cheaper for constructing the new stadium.
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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Transcribed Image Text:5. The city of Hafr-Al Batin is in process of approving a construction site for a new 220,000ft2
stadium. Two sites have been proposed. The table provides data about proposed (contiguous)
properties in both sites together with the acquisition cost.
Site 1
Site 2
Property Area (1000ft²) Cost ($1000) Area (1000ft²) Cost ($1000)
20
1000
80
2800
50
21000
60
1900
50
2350
2800
30
1850
2500
60
2950
1
2
3
4
2
5
50
70
Partial acquisition is possible. At least 80% of property 4 must be acquired if sitel is selected,
and at least 60% of property 3 is acquired if site 2 is selected. Although site 1 property is more
expensive, the construction cost is less than site 2 because of better existing infrastructure at
site 1. Construction cost at site 1 is $30 million and at site 2 is $32 million. Determine LP
model(s) to decide which site is cheaper for constructing the new stadium.
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