Fenerbahçe's authentic licensed products are sold by Fenerbahçe Sportif Inc.'s "Fenerium" stores across the country. Fenerium must deal constantly with such decision problems in choosing how to divide its limited budgets among many competing projects. The following table shows a list of the projects and the related information. Budget requirements in millions TL span the following five years in the table. Each project can be chosen once and must be completed (i.e. if project 5 is chosen, Fenerium has to pay associated costs which are 5 and 8 in 2012, 2013 respectively). Values of the projects are included as a column in the table. Fenerium is trying to maximize the total value. Projects 4 and 5 are mutually exclusive. That is, at most one of them can be included in the program plan. Similarly, projects 8 and 11 are mutually exclusive. On the other hand, projects 9 and 14 are also mutually exclusive. Project 11 depends on project 2. That is, project 2 must be chosen if project 11 is. Similarly project 3 must be chosen if any of projects 4, 5, 6, 7 is. Fenerium must decide which of the 14 indicated projects to include in program plan. Formulate an IP model for Fenerium.
Fenerbahçe's authentic licensed products are sold by Fenerbahçe Sportif Inc.'s "Fenerium" stores across the country. Fenerium must deal constantly with such decision problems in choosing how to divide its limited budgets among many competing projects. The following table shows a list of the projects and the related information.
Budget requirements in millions TL span the following five years in the table. Each project can be chosen once and must be completed (i.e. if project 5 is chosen, Fenerium has to pay associated costs which are 5 and 8 in 2012, 2013 respectively).
Values of the projects are included as a column in the table. Fenerium is trying to maximize the total value. Projects 4 and 5 are mutually exclusive. That is, at most one of them can be included in the program plan. Similarly, projects 8 and 11 are mutually exclusive. On the other hand, projects 9 and 14 are also mutually exclusive. Project 11 depends on project 2. That is, project 2 must be chosen if project 11 is. Similarly project 3 must be chosen if any of projects 4, 5, 6, 7 is.
Fenerium must decide which of the 14 indicated projects to include in program plan. Formulate an IP model for Fenerium.
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