b) Polyvinyl chloride, PVC with the molecular formula of (C2H;Cl), is one of the most common synthetic polymer produced globally in huge quantity. It is primarily used in packaging as plastic bottles and non-food packaging due to its cheap cost and highly robust properties. A local PVC production company intends to expand its operation by building 2 new production plants, Sl and S2 to cater to the expansion of its exports to country A, B and C. The exportation and production costs for each plant to each customer are listed in Table Q1 (a). The maximum production level for each plant and minimum customer's demand are also tabulated in Table Q1 (b). Table Q1 (a): Exportation and production costs for S1 and S2 Plant si S2 Production 150 if production level < 30 ton/day 125 at all production level cost (RM/ton) 100 if production level > 30 ton/day Country A B C A B C Exportation cost (RM/ton) 65 70 40 55 100 60 Table Q1 (b): Plant's maximum production level and country's minimum demand Plant/Country si S2 A B C Amount 40 25 20 10 15 (ton/day) Formulate the objective function to minimize the total daily product costs and list out all the constraints.
b) Polyvinyl chloride, PVC with the molecular formula of (C2H;Cl), is one of the most common synthetic polymer produced globally in huge quantity. It is primarily used in packaging as plastic bottles and non-food packaging due to its cheap cost and highly robust properties. A local PVC production company intends to expand its operation by building 2 new production plants, Sl and S2 to cater to the expansion of its exports to country A, B and C. The exportation and production costs for each plant to each customer are listed in Table Q1 (a). The maximum production level for each plant and minimum customer's demand are also tabulated in Table Q1 (b). Table Q1 (a): Exportation and production costs for S1 and S2 Plant si S2 Production 150 if production level < 30 ton/day 125 at all production level cost (RM/ton) 100 if production level > 30 ton/day Country A B C A B C Exportation cost (RM/ton) 65 70 40 55 100 60 Table Q1 (b): Plant's maximum production level and country's minimum demand Plant/Country si S2 A B C Amount 40 25 20 10 15 (ton/day) Formulate the objective function to minimize the total daily product costs and list out all the constraints.
Practical Management Science
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![b) Polyvinyl chloride, PVC with the molecular formula of (C2H;Cl), is one of the most
common synthetic polymer produced globally in huge quantity. It is primarily used in
packaging as plastic bottles and non-food packaging due to its cheap cost and highly
robust properties. A local PVC production company intends to expand its operation by
building 2 new production plants, S1 and S2 to cater to the expansion of its exports to
country A, B and C. The exportation and production costs for each plant to each customer
are listed in Table Q1 (a). The maximum production level for each plant and minimum
customer's demand are also tabulated in Table QI (b).
Table QI (a): Exportation and production costs for Sl and S2
Plant
si
S2
150 if production level < 30 ton/day
cost (RM/ton) 100 if production level > 30 ton/day
Production
125 at all production level
Country
A
C
A
B
C
Exportation
cost (RM/ton)
65
70
40
55
100
60
Table Q1 (b): Plant's maximum production level and country's minimum demand
Plant/Country
si
S2
A
B
C
Amount
40
25
20
10
15
(ton/day)
Formulate the objective function to minimize the total daily product costs and list out all
the constraints.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F78042a9b-0279-4dfd-bf84-e27a7dc00ff8%2Fa48cb017-6908-481a-a891-849cb7abe8dc%2F717cqlk_processed.jpeg&w=3840&q=75)
Transcribed Image Text:b) Polyvinyl chloride, PVC with the molecular formula of (C2H;Cl), is one of the most
common synthetic polymer produced globally in huge quantity. It is primarily used in
packaging as plastic bottles and non-food packaging due to its cheap cost and highly
robust properties. A local PVC production company intends to expand its operation by
building 2 new production plants, S1 and S2 to cater to the expansion of its exports to
country A, B and C. The exportation and production costs for each plant to each customer
are listed in Table Q1 (a). The maximum production level for each plant and minimum
customer's demand are also tabulated in Table QI (b).
Table QI (a): Exportation and production costs for Sl and S2
Plant
si
S2
150 if production level < 30 ton/day
cost (RM/ton) 100 if production level > 30 ton/day
Production
125 at all production level
Country
A
C
A
B
C
Exportation
cost (RM/ton)
65
70
40
55
100
60
Table Q1 (b): Plant's maximum production level and country's minimum demand
Plant/Country
si
S2
A
B
C
Amount
40
25
20
10
15
(ton/day)
Formulate the objective function to minimize the total daily product costs and list out all
the constraints.
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