- Find The Decision Variables, Objective Function and Constraint Chemealis Group
ID: 447482 • Letter: #
Question
- Find The Decision Variables, Objective Function and Constraint
Chemealis Group is an international company specializing in producing chemical products consisting of the chemicals polyethylene (PE), polypropylene (PP), and Phenol (PH) for the infrastructure, automotive and packaging market sectors. The plastics Chemealis provides are converted by its customers into a variety of products such as food packaging, medical devices, diapers, energy and communication cables, water and sanitation distribution pipes and automotive parts. Due to the current economic crisis the company wants to minimize the total shipping cost. The cost per tonne from each of the six factories to each of the three continents that Chemealis supplies is shown in the following table (along with other basic data for next year)^1 Furthermore, the percentage of each chemical must be between 25 and 40 percent of the total tonnes sold to a continent. In addition the total number of tonnes sold to North America, Europe, and Asia cannot exceed 100,000, 120,000, and 110,000, respectively. You have been hired as an operations research consultant to assist the company in determining how many tonnage in each factory should be sold to each continent.Explanation / Answer
Decision Variables = HOW MANY TONNEAGE = POLYETHELENE, POLYPROPELENE, PHENOL.
objective function = to maximise transportation to north americs, europe and asia & to minimise tranportation cost.
constraints = per tonnes shipped to destinations norrth americs, europe, asia that cannot exceed 100000 120000 110000 respectively
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