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A company is considering 5 projects. Each approved project will be completed over a 3-year period. Annual expenses and the final return for each project

A company is considering 5 projects. Each approved project will be completed over a 3-year period. Annual expenses and the final return for each project is shown below (in thousand dollars):

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The company must choose the projects with the aim of maximizing total yields. In addition, the following information is available:

  1. Projects 3 and 5 cannot be approved together.
  2. If neither Project 4 or 5 is selected, Projects 1 and 2 must be selected.
  3. The companys available annual capital is $25000, but it must reduce its expenditure by $5000 in one of the 3 years (i.e., can spend up to $20000 in that year) and that particular year must be also selected to maximize profits.

What projects must be selected and in which year $5000 must be saved?

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