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
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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