1. Huawei decided to expand in Africa. Three possible factory sites are available! Nairobi, Cape Town, and Accra. Factory building costs and transport costs to major customer zones from each site are given below. Factory Site Cape Town Nairobi Production Cost/unit 60 Building Cost (per million unit capacity) 560,000 340,000 75 45 Accra 310,000 Customer Zone Demand/yr Transport Costs/unit Cape Town Nairobi Accra #1 18 million # 2 15 million 8. 12 #3 9 million 26 million 16 # 4 2 15 22 Huawei has a building budget of 40 million USD next vear, Huawei does not wish annual logistics costs to exceed 40% of total production costs. Write a model that decides which factories will be built in what capacity while meeting annual demand and minimizing all costs. USE PARAMETERS BELOW! Parameters: TRC(ij): transport cost; D(j): demand for zone j; B(i): building cost per million capacity for site i; pr(i): production cost for site i Variables:

Practical Management Science
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1.
Huawei decided to expand in Africa. Three possible factory sites are available:
Nairobi, Cape Town, and Accra. Factory building costs and transport costs to major customer
zones from each site are given below.
Production Cost/unit
60
Factory Site
Building Cost (per million unit capacity)
Cape Town
Nairobi
Accra
560,000
75
340,000
45
310,000
Customer Zone
Demand/yr
Transport Costs/unit
Cape Town
Nairobi
Accra
#1
# 2
18 million
12
15 million
#3
7
9 million
26 million
16
#4
22
Huawei has a building budget of 40 million USD next year. Huawei does not wish annual
logistics costs to exceed 40% of total production costs. Write a model that decides which
factories will be built in what capacity while meeting annual demand and minimizing all costs.
USE PARAMETERS BELOW!
Parameters: TRC(ij): transport cost; D(j): demand for zone j; B(i): building cost per million
capacity for site i; pr(i): production cost for site i
Variables:
Model:
Transcribed Image Text:1. Huawei decided to expand in Africa. Three possible factory sites are available: Nairobi, Cape Town, and Accra. Factory building costs and transport costs to major customer zones from each site are given below. Production Cost/unit 60 Factory Site Building Cost (per million unit capacity) Cape Town Nairobi Accra 560,000 75 340,000 45 310,000 Customer Zone Demand/yr Transport Costs/unit Cape Town Nairobi Accra #1 # 2 18 million 12 15 million #3 7 9 million 26 million 16 #4 22 Huawei has a building budget of 40 million USD next year. Huawei does not wish annual logistics costs to exceed 40% of total production costs. Write a model that decides which factories will be built in what capacity while meeting annual demand and minimizing all costs. USE PARAMETERS BELOW! Parameters: TRC(ij): transport cost; D(j): demand for zone j; B(i): building cost per million capacity for site i; pr(i): production cost for site i Variables: Model:
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