Global Construction Company is planning construction of five dormitory buildings in four different neighboring university and college campuses (numbered from 1 to 4). The primary requirement for the construction is concrete, which will be supplied from three concrete production facilities to be built on sites A, B, and C. The demand, transportation costs, and facility construction costs are shown in Table 1. The management of Global would like to know which sites should be selected to build the concrete production facilities and what quantities of concrete should be supplied from each of these facilities. Campus Demand (units) From To A B с Facility Cost (P) 1 2000 1 20 10 50 A 140,000 Table 1 Dormitory Concrete Costs DEMAND IN UNITS OF CONCRETE 2 3 3000 8000 TRANSPORTATION COSTS (P/unit) 2 3 30 20 20 30 20 80 FACILITY CONSTRUCTION COSTS B 90,000 4 5000 с 160,000 4 10 60 90

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter5: Network Models
Section5.3: Assignment Models
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Integer Linear Programming Problem: Identify decision variable, objective function and constraints MODEL only. Please explain thanks!

 

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1.
Global Construction Company is planning construction of five dormitory buildings in four different
neighboring university and college campuses (numbered from 1 to 4). The primary requirement for
the construction is concrete, which will be supplied from three concrete production facilities to be
built on sites A, B, and C. The demand, transportation costs, and facility construction costs are shown
in Table 1.
The management of Global would like to know which sites should be selected to build the concrete
production facilities and what quantities of concrete should be supplied from each of these facilities.
Campus
Demand (units)
From To
A
دااا
B
с
Facility
Cost (P)
2000
1
20
10
50
A
140,000
Table 1
Dormitory Concrete Costs
DEMAND IN UNITS OF CONCRETE
2
3000
TRANSPORTATION COSTS (P/unit)
2
30
20
20
FACILITY CONSTRUCTION COSTS
3
8000
B
90,000
3
20
30
80
4
5000
с
160,000
4
10
60
90
Transcribed Image Text:1. Global Construction Company is planning construction of five dormitory buildings in four different neighboring university and college campuses (numbered from 1 to 4). The primary requirement for the construction is concrete, which will be supplied from three concrete production facilities to be built on sites A, B, and C. The demand, transportation costs, and facility construction costs are shown in Table 1. The management of Global would like to know which sites should be selected to build the concrete production facilities and what quantities of concrete should be supplied from each of these facilities. Campus Demand (units) From To A دااا B с Facility Cost (P) 2000 1 20 10 50 A 140,000 Table 1 Dormitory Concrete Costs DEMAND IN UNITS OF CONCRETE 2 3000 TRANSPORTATION COSTS (P/unit) 2 30 20 20 FACILITY CONSTRUCTION COSTS 3 8000 B 90,000 3 20 30 80 4 5000 с 160,000 4 10 60 90
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