Problem 1 An investor has $ 15,000 available for four investments. Investment 1 will yield a net present value (NPV) of $16,000; investment 2, an NPV of $22,000; investment 3, an NPV of $12,000; and investment 4, an NPV of $8,000. Each investment requires a certain cash outflow at the present time: investment 1, $5,000; investment 2, $7,000; investment 3, $4,000; and investment 4, $3,000. (i) Formulate an IP whose to maximize the NPV obtained from the four investments. (ii) How would you modify the IP problem if it is possible to invest in at most two investments? (iii) How would you modify the IP problem if in order to invests in investment 2, one must also invest in investment 1? Problem 1 An investor has $ 15,000 available for four investments. Investment 1 will yield a net present value (NPV) of $16,000; investment 2, an NPV of $22,000; investment 3, an NPV of $12,000; and investment 4, an NPV of $8,000. Each investment requires a certain cash outflow at the present time: investment 1, $5,000; investment 2, $7,000; investment 3, $4,000; and investment 4, $3,000. (i) Formulate an IP whose to maximize the NPV obtained from the four investments. (ii) How would you modify the IP problem if it is possible to invest in at most two investments? (iii) How would you modify the IP problem if in order to invests in investment 2, one must also invest in investment 1