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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

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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 is shown below (in thousand dollars): Expenses Project Year 1 Year 2 Year 3 Yields 1 5 1 8 20 2 4 7 10 40 3 3 9 2 20 4 7 4 1 15 5 8 00 6 10 30 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 company's 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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