6. A company is considering four investment opportunities. The following table presents information about the investments (in Rs thousands):

In addition, it is given that projects 1 and 2 are mutually exclusive, while project 4 is contingent upon the prior acceptance of project 3. Formulate an integer programming model to determine which projects to accept and which ones to reject so as to maximize the present value from accepted projects.

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Project Present value of Capital required by the projects expected return Year 1 Year 2 Year 3 1234 1250 720 560 400 1320 880 550 360 620 300 170 110 740 350 210 Capital available for investment 1400 800 ' 440